Schriftenverzeichnis - List of publications
Diplomarbeit:
Das Wachstumsverhalten zusammengesetzter Funktionen, RWTH Aachen, 1982;
pdf.
Dissertation:
Untersuchungen des Wachstums zusammengesetzter meromorpher
Funktionen, RWTH Aachen, 1986;
pdf.
Habilitationsschrift:
Periodische Punkte bei der Iteration ganzer
Funktionen,
RWTH Aachen, 1991;
ps,
dvi,
pdf.
Zeitschriftenartikel und Buchbeiträge - Articles in
journals and books:
- (with Gerhard Jank &
Lutz Volkmann)
Wachstumsverhalten zusammengesetzter Funktionen,
Results Math.
7 (1984), 35-53.
- (with Gerhard Jank &
Lutz Volkmann)
Über faktorisierbare Lösungen
Riccatischer Differentialgleichungen,
Results Math.
10 (1986), 40-53 [Special issue dedicated to H. Wittich].
- On the Nevanlinna characteristic of a composite function,
Complex Var. Theory Appl. 10 (1988), 225-236.
-
An inequality for real functions with applications to function theory,
Bull. London Math. Soc.
21 (1989), 171-175.
-
Order and lower order of composite meromorphic functions,
Michigan Math. J.
36 (1989), 135-146.
- On the growth rate of composite meromorphic functions,
Complex Var. Theory Appl. 14 (1990), 187-196.
- On the fix-points of composite functions,
Pacific J. Math. 143 (1990), 1-8.
-
Fix-points of meromorphic functions and iterated entire functions,
J. Math. Anal. Appl. 151 (1990), 261-274.
-
On meromorphic functions that share three values and on the
exceptional set in Wiman-Valiron theory,
Kodai Math. J.
13 (1990), 1-9.
-
Proof of a conjecture of Gross concerning fix-points,
Math. Z.
204 (1990), 381-390.
-
On the number of fix-points of iterated entire functions,
Arch. Math. (Basel)
55 (1990), 558-563.
-
Maximum modulus, characteristic, and area on the sphere,
Analysis
10 (1990), 163-176;
ps,
dvi,
pdf.
Erratum:
Analysis
12 (1992), 67-69;
ps,
dvi,
pdf.
-
Periodic points of entire functions: proof of a conjecture
of Baker,
Complex Var. Theory Appl. 17 (1991), 57-72;
ps,
dvi,
pdf.
-
On the existence of fixpoints of composite meromorphic functions,
Proc. Amer. Math. Soc.
114 (1992), 879-880;
ps,
dvi,
pdf.
-
Canonical products of infinite order,
J. Reine Angew. Math.
430 (1992), 85-108;
ps,
dvi,
pdf.
- (with C.-C. Yang)
On the value distribution of composite meromorphic functions,
Bull. London Math. Soc.
25 (1993), 357-361;
ps,
dvi,
pdf.
-
An example concerning factorization of rational functions,
Exposition. Math. 11 (1993), 281-283;
ps,
dvi,
pdf.
Erratum:
Exposition. Math. 34 (2016), 246-247;
ps,
dvi,
pdf.
- (with
Mako Haruta,
Hartje Kriete,
Hans-Günter Meier
& Norbert Terglane)
On the limit functions of iterates in wandering domains,
Ann. Acad. Sci. Fenn. Ser. A I Math.
18 (1993), 369-375.
-
Newton's method and a class of
meromorphic functions without wandering domains,
Ergodic Theory Dynam. Systems
13 (1993), 231-247;
ps,
dvi,
pdf.
Correction:
pdf.
-
Iteration of meromorphic functions,
Bull. Amer. Math. Soc. (N. S.)
29 (1993), 151-188;
ps,
dvi,
pdf;
arxiv: math/9310226.
Comments:
ps,
dvi,
pdf.
- (with
W. H. J. Fuchs)
On the zeros of the second derivative of real entire functions,
J. Anal.
1 (1993), 73-79;
ps,
dvi,
pdf.
- (with Paul-Georg Becker)
Transcendency of local conjugacies in complex dynamics
and transcendency of their values,
Manuscripta Math.
81 (1993), 369-377;
ps,
dvi,
pdf.
- (with
Fritz von Haeseler,
Hartje Kriete, Hans-Günter Meier & Norbert Terglane)
Newton's method for meromorphic functions,
in “Complex Analysis and its Applications,”
edited by C. C. Yang, G. C. Wen, K. Y. Li & Y. M. Chiang, Pitman Res. Notes Math. Ser.
305 (1994), 147-158.
- (with Ilpo Laine) Open problems in complex analysis, same proceedings, 352-358.
-
A
question of Gol'dberg concerning entire functions with prescribed zeros,
J. Analyse Math. 63 (1994), 121-129;
ps,
dvi,
pdf.
- (with Heinrich Bock)
On the growth of meromorphic functions of infinite order,
J. Analyse Math.
64 (1994), 327-336;
ps,
dvi,
pdf.
- (with
J. G. Clunie &
J. K. Langley)
Proof of a conjecture of Baker concerning the distribution of fixpoints,
Bull. London Math. Soc.
27 (1995), 148-154;
ps,
dvi,
pdf.
-
On factorization of certain entire functions,
J. Math. Anal. Appl.
193 (1995), 1003-1007;
ps,
dvi,
pdf.
- (with
Alexandre Eremenko)
On the singularities of the inverse to a meromorphic function
of finite order,
Rev. Mat. Iberoamericana 11 (1995), 355-373;
ps,
dvi,
pdf.
- (with
Steffen Rohde)
Omitted values in domains of normality,
Proc. Amer. Math. Soc.
123 (1995), 1857-1858;
ps,
dvi,
pdf.
-
On the composition of transcendental entire and meromorphic functions,
Proc. Amer. Math. Soc.
123 (1995), 2151-2153;
ps,
dvi,
pdf.
-
Invariant domains and singularities,
Math. Proc. Cambridge Philos. Soc.
117 (1995), 525-532;
ps,
dvi,
pdf;
color graphics related to this paper are
here.
- (with Paul-Georg Becker)
Hypertranscendency of conjugacies in complex dynamics,
Math. Ann.
301 (1995), 463-468;
ps,
dvi,
pdf.
-
Solution of a problem of Rubel concerning iteration and algebraic differential equations,
Indiana Univ. Math. J.
44 (1995), 257-267;
ps,
dvi,
pdf.
-
On the zeros of certain homogeneous differential
polynomials,
Arch. Math. (Basel)
64 (1995), 199-202;
ps,
dvi,
pdf.
-
An introduction to complex dynamics,
Textos Mat. Sér. B
6 (1995), 1-37;
ps,
dvi,
pdf.
-
On the Julia set of analytic self-maps of the punctured plane,
Analysis
15 (1995), 251-256;
ps,
dvi,
pdf.
- (with Norbert Terglane)
Weakly repelling fixpoints and the connectivity of wandering domains,
Trans. Amer. Math. Soc.
348 (1996), 1-12;
ps,
dvi,
pdf.
-
A quantitative version of Picard's theorem,
Ark. Mat.
34 (1996), 225-229; ps,
dvi,
pdf.
-
Non-real periodic points of entire functions,
Canad. Math. Bull.
40 (1997), 271-275;
ps,
dvi,
pdf.
-
On the product of a meromorphic function and its derivative,
Bull. Hong Kong Math. Soc. 1 (1997), 97-101;
ps,
dvi,
pdf.
-
Some remarks on Picard's theorem and Nevanlinna theory,
Bull. Hong Kong Math. Soc. 1 (1997), 219-224 [Proceedings of the International Workshop on Value Distribution Theory and Its Applications (Hong Kong, 1996)];
ps,
dvi,
pdf.
- (with Yuefei Wang)
On the dynamics of composite entire functions,
Ark. Mat.
36 (1998), 31-39 ;
ps,
dvi,
pdf.
-
On a theorem of Gol'dberg concerning meromorphic solutions
of algebraic differential equations,
Complex Var. Theory Appl. 37 (1998), 93-96 [Special issue dedicated to A. A. Goldberg];
ps,
dvi,
pdf.
- (with Norbert Terglane)
On the zeros of solutions of linear differential equations
of the second order,
J. London Math. Soc.
58 (1998), 311-330;
ps,
dvi,
pdf;
some color graphics related to this paper are
here.
-
A new proof of the Ahlfors five islands theorem,
J. Analyse Math. 76 (1998), 337-347;
ps,
dvi,
pdf;
BMS 98-24.
-
(with Katsuya Ishizaki & Niro Yanagihara)
Meromorphic solutions of some functional equations,
Methods Appl. Anal. 5 (1998), 248-258;
ps,
dvi,
pdf.
Correction:
6 (1999), 617,
ps,
dvi,
pdf.
-
(with Aimo Hinkkanen)
On semiconjugation of entire functions,
Math. Proc. Cambridge Philos. Soc.
126 (1999), 565-574;
ps,
dvi,
pdf;
BMS 97-21.
-
The role of the Ahlfors five islands theorem in complex dynamics,
Conform. Geom. Dyn. 4 (2000), 22-34;
ps,
dvi,
pdf;
BMS 99-16.
-
(with
Alexandre Eremenko)
Entire functions of small growth whose Julia set coincides with the plane,
Ergodic Theory Dynam. Systems
20 (2000), 1577-1582.
ps,
dvi,
pdf;
BMS 98-20.
Correction:
21 (2001), 637.
ps,
dvi,
pdf.
-
Normale Familien (Vortrag auf dem Tag der Funktionentheorie,
Berlin, 1999), Sitzungsberichte der Berliner Mathematischen Gesellschaft
1997-2000, pp. 485-487;
ps,
dvi,
pdf.
-
Some research problems in value distribution
and complex dynamics (posed at the INTAS meeting in Lviv in 2000),
unpublished;
ps,
dvi,
pdf.
-
Normality and exceptional values of derivatives,
Proc. Amer. Math. Soc.
129 (2001), 121-129;
ps,
dvi,
pdf;
BMS 98-28.
-
(with
Detlef Bargmann)
Composite meromorphic functions and growth of the spherical
derivative,
J. Math. Anal. Appl.
257 (2001), 274-281;
ps,
dvi,
pdf.
-
Covering properties of derivatives of meromorphic functions,
Complex Var. Theory Appl.
43 (2001), 241-249 [Special issue dedicated to Chi-Tai Chuang];
ps,
dvi,
pdf;
BMS 99-15.
-
(with
Detlef Bargmann)
Periodic points and normal families,
Proc. Amer. Math. Soc. 129 (2001), 2881-2888;
ps,
dvi,
pdf;
BMS 99-10.
-
Singularities in Baker domains,
Comput. Methods Funct. Theory 1 (2001), 41-49;
ps,
dvi,
pdf.
-
Rescaling principles in function theory,
in “Proceedings of the International Conference on
Analysis and its Applications,”
edited by K. S. Lakshmi, R. Parvatham & H. M. Srivastava,
Allied Publishers Ltd., New Delhi, 2001,
11-29;
ps,
dvi,
pdf.
-
(with Katsuya Ishizaki & Niro Yanagihara)
Growth of meromorphic solutions of some functional equations, I,
Aequationes Math. 63 (2002), 140-151;
ps,
dvi,
pdf.
-
On the number of critical points in parabolic basins,
Ergodic Theory Dynam. Systems 22 (2002), 655-669;
ps,
dvi,
pdf;
BMS 00-16;
some color graphics related to this paper are
here.
-
On proper analytic maps with one critical point,
in “Value Distribution Theory and Complex Dynamics,”
edited by
W. Cherry
&
C.-C. Yang,
Contemp. Math. 303, 1-6 (2002);
ps,
dvi,
pdf;
BMS 02-5.
-
A question of Eremenko and Lyubich concerning completely invariant
domains and indirect singularities,
Proc. Amer. Math. Soc.,
130 (2002), 3231-3236;
ps,
dvi,
pdf;
some color graphics related to this paper are
here.
-
(with
Shunsuke Morosawa)
Semihyperbolic entire functions,
Nonlinearity
15 (2002), 1673-1684;
ps,
dvi,
pdf.
Correction:
pdf.
-
Ahlfors
theory and complex dynamics:
periodic points of entire functions,
in “Complex dynamics and related fields,”
RIMS Kokyuroku
1269 (2002), 1-11;
ps,
dvi,
pdf;
BMS 02-6.
-
(with Xuecheng Pang)
On the derivative of meromorphic functions with
multiple zeros,
J. Math. Anal. Appl. 278 (2003), 285-292;
ps,
dvi,
pdf.
- (with Walter K. Hayman)
Zeros of solutions of a functional equation,
Comput.
Methods Funct. Theory,
3 (2003), 55-78 [Special issue dedicated to D. Gaier];
ps,
dvi,
pdf.
- (with
Alexandre Eremenko
&
J. K. Langley)
Real entire functions of infinite order and a conjecture of Wiman,
Geom. Funct. Anal. 13 (2003), 975-991;
ps,
dvi,
pdf;
arxiv: math/0207229,
- (with
J. K. Langley)
Nonvanishing derivatives and normal families,
J. Analyse Math. 91 (2003), 353-367;
ps,
dvi,
pdf.
-
Periodic Fatou components and singularities of the inverse function,
in
“Topics in Analysis and its Applications,”
edited by
G. A. Barsegian &
H. G. W. Begehr,
NATO Science Series II: Mathematics, Physics and Chemistry, Vol. 147,
Kluwer Acad. Publ., Dordrecht, 2004, 47-59;
ps,
dvi,
pdf;
BMS 02-9.
-
Fixed points of composite meromorphic functions and normal families,
Proc. Roy. Soc. Edinburgh Sect. A 134 (2004), 653-660;
ps,
dvi,
pdf;
BMS 03-12.
- (with
J. K. Langley)
Multiplicities in Hayman's alternative,
J. Australian Math. Soc. 78 (2005), 37-57;
ps,
dvi,
pdf.
-
Quasinormal families and periodic points,
in
“Complex
Analysis and Dynamical Systems II:
A Conference in Honor of Professor
Lawrence Zalcman's Sixtieth Birthday, June 9-12, 2003, Nahariya, Israel,”
edited by M. Agranovsky, L. Karp & D. Shoikhet,
Contemp. Math. 382 (2005), 55-63;
ps,
dvi,
pdf;
BMS 04-2.
- (with
Alexandre Eremenko
&
J. K. Langley)
Zeros of differential polynomials in real meromorphic functions,
Proc. Edinburgh Math. Soc. 48 (2005), 279-293;
ps,
dvi,
pdf;
arxiv: math/0407207,
BMS 04-8.
-
Bloch's principle,
Comput. Methods Funct. Theory
6 (2006), 77-108;
ps,
dvi,
pdf;
arxiv: math/0511048,
BMS 05-18.
-
Fixed points of composite entire and quasiregular maps,
Ann. Acad. Sci. Fenn. Math. 31 (2006), 523-540;
ps,
dvi,
pdf;
arxiv: math/0509635,
BMS 05-25.
- (with
Alexandre Eremenko)
Proof of a conjecture of Pólya on the zeros of successive derivatives
of real entire functions,
Acta Math.
197 (2006), 125-146;
ps,
dvi,
pdf;
arxiv: math/0510502,
BMS 05-26.
- (with
J. K. Langley)
Zeros of differences of meromorphic functions,
Math. Proc. Cambridge Philos. Soc.
142 (2007), 133-147;
ps,
dvi,
pdf;
arxiv: math/0506441,
BMS 05-19.
- (with
David Drasin
&
James K. Langley)
Baker domains for Newton's method,
Ann. Inst. Fourier
57 (2007), 803-814;
ps,
dvi,
pdf;
arxiv: math/0601496,
BMS 06-1.
-
Permutable
entire functions satisfying algebraic differential equations,
Comput. Methods Funct. Theory 8 (2008), 101-106 [Special issue dedicated to W. K. Hayman];
ps,
dvi,
pdf;
arxiv: math/0511117,
BMS 05-28.
- (with
Philip J. Rippon
&
Gwyneth M. Stallard)
Dynamics of meromorphic functions with direct or logarithmic singularities,
Proc.
London Math. Soc. 97 (2008), 368-400;
ps,
pdf;
arxiv: 0704.2712.
- (with
Alexandre Eremenko)
Meromorphic functions with two completely invariant domains,
in “Transcendental Dynamics and Complex Analysis,”
edited by P. J. Rippon & G. M. Stallard,
Cambridge University Press, LMS Lecture Note Series
348 (2008), 74-89;
ps,
dvi,
pdf;
arxiv: math/0310495,
BMS 03-11;
some color graphics related to this paper are
here.
- (with
Alexandre Eremenko)
Direct singularities and completely invariant domains of entire functions,
Illinois J. Math.
52 (2008), 243-259;
ps,
dvi,
pdf;
arxiv: math/0608027,
BMS 06-5.
Note:
Theorem 2 of this paper is incorrect. A counterexample is given by Theorem 1.2 in the paper
On connected preimages of simply-connected domains under entire functions by Lasse Rempe-Gillen and Dave Sixsmith.
- (with
Alastair Fletcher,
Jim Langley
&
Janis Meyer)
The escaping set of a quasiregular mapping,
Proc. Amer. Math. Soc. 137 (2009), 641-651;
pdf;
arxiv: 0802.0119.
- (with
Alexandre Eremenko)
Meromorphic functions with
linearly distributed values and Julia sets of rational function,
Proc. Amer. Math. Soc. 137 (2009), 2329-2333 ;
ps,
dvi,
pdf;
arxiv: 0808.3800.
- (with Bogusława Karpińska
&
Gwyneth M. Stallard)
The growth rate of an entire function and the Hausdorff dimension
of its Julia set,
J. London Math. Soc.
80 (2009), 680-698;
ps,
dvi,
pdf;
arxiv: 0807.2363.
- (with Bogusława Karpińska)
On the Hausdorff dimension of the Julia set of a
regularly growing entire function,
Math. Proc. Cambridge Philos. Soc.
148 (2010), 531-551;
ps,
dvi,
pdf;
arxiv: 0909.3988.
-
Normal families and fixed points of iterates,
Sci. China Math.
53 (2010), 593-596 [Special issue dedicated to Yang Lo];
ps,
dvi,
pdf;
arxiv: 1001.4511.
- (with
Alexandre Eremenko)
On
the number of solutions of a transcendental equation arising in the theory of gravitational lensing,
Comput. Methods Funct. Theory 10 (2010), 303-324;
ps,
pdf;
arxiv: 0908.4595;
some color graphics related to this paper are
here.
-
Newton's method and Baker domains,
J. Difference Equ. Appl. 16 (2010), 427-432 [Special issue dedicated to R. L. Devaney];
ps,
dvi,
pdf;
arxiv: 0710.1147.
- Karpińska's paradox in dimension 3,
Duke
Math. J. 154 (2010), 599-630;
ps,
dvi,
pdf;
arxiv: 0902.2686.
- Iteration of quasiregular mappings,
Comput. Methods Funct. Theory 10 (2010), 455-481;
ps,
dvi,
pdf;
- An
entire function with simply and multiply connected wandering domains,
Pure Appl.
Math. Quarterly 7 (2011), 107-120 [Special issue dedicated to F. W. Gehring];
ps,
dvi,
pdf;
arxiv: 0708.0941,
-
The size of Wiman-Valiron disks,
Complex Var. Elliptic Equ. 56 (2011), 13-33 [Special issue dedicated to C.-C. Yang];
ps,
dvi,
pdf;
arxiv: 0901.2690.
- (with
Alexandre Eremenko)
Dynamics
of a higher dimensional analog of the trigonometric functions,
Ann. Acad. Sci. Fenn. Math. 36 (2011), 165-175;
ps,
dvi,
pdf;
arxiv: 1002.4159.
- (with
Jian-Hua Zheng)
On the uniform perfectness of the
boundary of multiply connected wandering domains,
J. Australian Math. Soc. 91 (2011), 289-311 ;
ps,
dvi,
pdf;
arxiv: 1011.5318.
- (with Magnus Aspenberg)
Entire functions with Julia sets of positive measure,
Math. Ann. 352 (2012), 27-54;
ps,
dvi,
pdf;
arxiv: 0904.1295.
-
On the set where the iterates of an entire function are bounded,
Proc. Amer. Math. Soc. 140 (2012), 847-853;
ps,
dvi,
pdf;
arxiv: 1012.1279.
- (with
Alexandre Eremenko)
On a property of the derivative of an entire function,
Ann. Acad. Sci. Fenn. Math. 37 (2012), 301-307;
ps,
dvi,
pdf;
arxiv: 1107.4245.
- (with
Jian-Hua Zheng)
Some examples of Baker domains,
Nonlinearity 25 (2012), 1033-1044;
ps,
dvi,
pdf;
arXiv:1110.1232.
- (with
Janina Kotus)
On the Hausdorff dimension of the escaping set of certain
meromorphic functions,
Trans. Amer. Math. Soc.
364 (2012), 5369-5394;
ps,
dvi,
pdf;
arxiv: 0901.3014.
-
On the packing dimension of the Julia set and
the escaping set of an entire function,
Israel J. Math. 192 (2012), 449-472;
ps,
dvi,
pdf;
arxiv: 1101.3479.
-
Fatou-Julia theory for non-uniformly quasiregular maps,
Ergodic Theory Dynam. Systems
33 (2013), 1-23;
ps,
dvi,
pdf;
arxiv: 1102.1910.
- (with
Alexandre Eremenko)
Gol'dberg's constants,
J. Analyse Math.
119 (2013), 365-402;
ps,
dvi,
pdf;
arxiv: 1111.2296.
- (with
Jörn Peter)
Escape rate and Hausdorff measure for entire functions,
Math. Z.
274 (2013), 551-572;
ps,
dvi,
pdf;
arxiv: 1203.0190.
- (with
Philip J. Rippon
&
Gwyneth M. Stallard)
Multiply connected wandering domains of entire functions,
Proc.
London Math. Soc. 107 (2013), 1261-1301;
ps,
dvi,
pdf;
arxiv: 1109.1794.
- (with
David Drasin
&
Alastair Fletcher)
The fast escaping set for quasiregular mappings,
Anal. Math. Phys. 4 (2014), 83-98
[Special issue dedicated to Lawrence Zalcman];
ps,
dvi,
pdf;
arxiv: 1308.2860.
- The size of Julia sets of quasiregular maps,
Ann. Univ. Buchar. Math. Ser. 5 (LXIII) (2014), 33-48
[Special issue dedicated to Cabiria Andreian Cazacu];
ps,
dvi,
pdf;
arxiv: 1303.7243.
- (with
Daniel A. Nicks)
Foundations for an iteration theory of entire quasiregular maps,
Israel J. Math. 201 (2014), 147-184;
ps,
dvi,
pdf;
arxiv: 1210.3972.
- (with
Alastair Fletcher
&
Daniel A. Nicks)
The Julia set and the fast escaping set of a quasiregular mapping,
Comput. Methods Funct. Theory 14 (2014), 209-218
[Special issue dedicated to F. W. Gehring];
ps,
dvi,
pdf;
arxiv: 1309.4601.
-
An entire function with no fixed points and no invariant Baker domains,
Proc. Amer. Math. Soc. 143 (2015), 197-202;
ps,
dvi,
pdf;
arxiv: 1210.5127.
- (with
Alexandre Eremenko)
Distribution of zeros of polynomials with positive coefficients,
Ann. Acad. Sci. Fenn. Math.
40 (2015), 375-383;
ps,
dvi,
pdf;
arxiv: 1409.4640.
- (with
Jun Wang)
Hausdorff measure of hairs without endpoints in the exponential family,
Math. Z. 281 (2015), 931-947;
ps,
dvi,
pdf;
arxiv: 1502.01961.
- (with
Núria Fagella Rabionet
and
Lasse Rempe-Gillen),
Hyperbolic entire functions with bounded Fatou components,
Comment. Math. Helv. 90 (2015), 799-829;
pdf;
arxiv: 1404.0925;
some color graphics related to this paper are
here.
- (with
Matthias Aschenbrenner)
Julia's equation and differential transcendence,
Illinois J. Math. 59 (2015), 277-294;
ps,
dvi,
pdf;
arxiv: 1307.6381.
- (with
Alexandre Eremenko)
Green's function and anti-holomorphic dynamics on a torus,
Proc. Amer. Math. Soc. 144 (2016), 2911-2922;
pdf;
arxiv: 1507.01704;
some color graphics related to this paper are
here.
- (with Igor Chyzhykov)
Lebesgue measure of escaping sets of entire functions of completely regular growth,
J. London Math. Soc.
94 (2016), 639-661;
ps,
dvi,
pdf;
arxiv: 1510.03628.
- (with
Alexandre Eremenko)
On the Bank-Laine conjecture,
J. Eur. Math. Soc. (JEMS) 19 (2017), 1899-1909;
ps,
dvi,
pdf;
arxiv: 1408.2400.
-
On postsingularly finite exponential maps,
Arnold Math. J. 3 (2017), 83-95
[Special issue dedicated to the XXV anniversary of the IMS];
ps,
dvi,
pdf;
arxiv: 1511.08440.
- (with Dan Liu)
On the multipliers of repelling periodic points of entire functions,
Ann. Acad. Sci. Fenn. Math. 43
(2018), 279-291;
ps,
dvi,
pdf;
arxiv: 1701.06858.
- (with Xiao Yao and
Jian-Hua Zheng)
Lyapunov exponents and related concepts for entire functions,
Math. Z. 288 (2018), 855-873;
ps,
dvi,
pdf;
arxiv: 1607.01271.
- (with
Alexandre Eremenko
and Aimo Hinkkanen)
Entire functions with two radially distributed values,
Math. Proc. Cambridge Philos. Soc. 165 (2018), 93-108 ;
ps,
dvi,
pdf;
arxiv: 1509.03283.
- (with
Alexandre Eremenko)
On the number of solutions of some transcendental equations,
Anal. Math. Phys. 8 (2018), 185-196
[Special issue dedicated to Dmitry Khavinson];
ps,
dvi,
pdf;
arxiv: 1702.06453.
-
Lebesgue measure of Julia sets and escaping sets of certain entire functions,
Fund. Math. 242 (2018), 281-301;
pdf;
arxiv: 1708.02819.
- (with
Alexandre Eremenko)
Quasiconformal surgery and linear differential equations,
J. Analyse Math. 137 (2019), 751-812;
ps,
pdf;
arxiv: 1510.05731.
- (with
Alexandre Eremenko)
Radially distributed values and normal families,
Int. Math. Res. Not. IMRN 2019, no. 23, 7356-7378;
ps,
dvi,
pdf;
arxiv: 1709.05034.
- (with
Roger Barnard and Ilpo Laine)
Stephan Ruscheweyh 1944-2019,
Comput. Methods Funct. Theory 19 (2019), 541-544.
- (with
Alexandre Eremenko)
Radially distributed values and normal families, II,
J. Analyse Math. 141 (2020), 99-111
[Special issue dedicated to Larry Zalcman];
ps,
dvi,
pdf;
arxiv: 1809.04842.
- (with
Alexandre Eremenko)
Entire functions with separated zeros and 1-points,
Comput. Methods Funct. Theory 20 (2020), 729-746
[Special issue dedicated to Stephan Ruscheweyh];
ps,
dvi,
pdf;
arxiv: 2002.00376.
-
Zeros, growth and Taylor coefficients of entire solutions of linear \(q\)-difference equations,
Ann. Fenn. Math. 46 (2021), 249-277;
ps,
dvi,
pdf;
arxiv: 1912.09897.
- (with Jie Ding)
Non-escaping points of Zorich maps,
Israel J. Math. 243 (2021), 27-43;
ps,
dvi,
pdf;
arxiv: 1910.13096.
- (with
Alexandre Eremenko)
Meromorphic functions with three radially distributed values,
Comput. Methods Funct. Theory 21 (2021) 671-696
[Special issue dedicated to Walter Hayman];
ps,
dvi,
pdf;
arxiv: 2011.05899.
- (with Weiwei Cui)
The
Hausdorff dimension of Julia sets of meromorphic functions in the Speiser class,
Math. Z. 302 (2022), 2193-2205;
ps,
dvi,
pdf;
arxiv: 2105.00938.
- (with Mark Agranovsky)
Lawrence Allen Zalcman 1943-2022,
Comput. Methods Funct. Theory.
Preprints
- (with
Alexandre Eremenko
and
Lasse Rempe)
Second order linear differential equations with a basis of solutions having only real zeros,
to appear in J. Analyse Math.;
pdf;
arxiv: 2204.08949.
- (with Athanasios Tsantaris)
Hausdorff dimension in quasiregular dynamics,
to appear in
Israel J. Math.;
ps,
dvi,
pdf;
arxiv: 2205.03626.
-
A question of Goldberg and Ostrovskii
concerning linear differential equations with coefficients of completely regular growth,
to appear in
Proc. Amer. Math. Soc.;
ps,
dvi,
pdf;
arxiv: 2206.08650.
- (with
Alexandre Eremenko
and
James Langley)
On conformal metrics of constant positive curvature in the plane,
to appear in
Zh. Mat. Fiz. Anal. Geom.;
ps,
dvi,
pdf;
arxiv: 2208.04672.
- (with Weiwei Cui)
The Hausdorff dimension of escaping sets of meromorphic functions in the Speiser class,
ps,
dvi,
pdf;
arxiv: 2209.06270.
Here
“BMS”
refers to the preprint series
Berichtsreihe des Mathematischen Seminars der Christian-Albrechts-Universität zu Kiel
and “arxiv” to the e-print archive
at
Cornell University.
In some cases the ps-, dvi- and pdf-files above and the papers
that actually appeared in journals are
revised versions of the arxiv- or BMS-preprints.
There are also some
comments
(ps,
dvi,
pdf)
on my survey article
Iteration of meromorphic functions
in the
Bulletin of the American Mathematical Society.