Some algebraic differential equations with few transcendental solutions

P. X. Gallagher · Journal of Mathematical Analysis and Applications · 2015

Explore this paper's citation graph

Type: article
Published: 2015-08-15
Cited by: 2
References: 9
Access: Open access
DOI: https://doi.org/10.1016/j.jmaa.2015.03.044
OpenAlex: https://openalex.org/W2041431871
Semantic Scholar: https://api.semanticscholar.org/CorpusID:120985996

Keywords

Transcendental number, Mathematics, Transcendental equation, Meromorphic function, Transcendental function

References

Value Distribution of Meromorphic FunctionsА. А. Гольдберг, И. В. Островскии — 2008
Nevanlinna Theory and Complex Differential EquationsIlpo Laine — 1992
Eindeutige Analytische FunktionenRolf Nevanlinna — 1936
Ganze transzendente Lösungen algebraischer DifferentialgleichungenHans Wittich — 1950
On the growth of a meromorphic function and its derivativesW. K. Hayman, Joseph R. Miles — 1989
Meromorphic solutions of higher order Briot–Bouquet differential equationsALEXANDRE E EREMENKO, LIANGWEN LIAO, TUEN WAI NG — 2007
Admissible meromorphic solutions of algebraic differential equationsJianjun Zhang, Liangwen Liao — 2013
Zur Irreduzibilität der KreisteilungsgleichungIssai Schur — 1929
Dynamics of meromorphic functions with direct or logarithmic singularitiesWalter Bergweiler, Philip J. Rippon, Gwyneth M. Stallard — 2007
MEROMORPHIC FUNCTIONSJ. Clunie — 1964
An Introduction to the Theory of Numbers. By G. H. Hardy and E. M. Wright. 2nd edition. Pp. xvi, 407 25s. 1945. (Oxford)T. A. A. B. — 1946
Meromorphic solutions of higher order Briot–Bouquet differential equationsA. Eremenko, L. W. Liao, T. W. Ng — 2008
DYNAMICS OF MEROMORPHIC FUNCTIONS WITH DIRECT OR LOGARITHMIC SINGULARITIESWalter Bergweiler, Philip J. Rippon, Gwyneth M. Stallard — 2007

Cited by

Nonlinear Loewy factorizable algebraic ODEs and Hayman’s conjectureTuen Wai Ng, Chengfa Wu — 2017

Related papers

On deficiencies of small functions for Painlevé transcendents of the fourth kindShun Shimomura — 2002
Generalized Expression for the nth Integration of Transcendental and Non- Transcendental FunctionsM. Mebin Panamkuttiyiel Saumain — 2020
Singularities of meromorphic functions with Baker domainsP. J. Rippon, Gwyneth M. Stallard — 2006
On Transcendental NumbersFlorin F. Nichita — 2013
Some dynamical properties of transcendental meromorphic functionsQiu Ling — 2008
A note on transcendental analytic functions with rational coefficients mapping Q into itselfJean Lelis, Diego Marques, Carlos Gustavo Moreira — 2023
Transcendental meromorphic solutions of some algebraic differential equationsKatsuya Ishizaki, Nobushige Toda — 2007