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Existence of meromorphic solutions of some generalized Fermat functional equations.
- Source :
-
Aequationes Mathematicae . Feb2020, Vol. 94 Issue 1, p59-69. 11p. - Publication Year :
- 2020
-
Abstract
- The aim of this paper is twofold. Firstly, we study the non-existence of finite order meromorphic solutions to the Cubic type of Fermat functional equation f (z) 3 - 3 τ f (z) f (z + c) + f (z + c) 3 = 1 . In addition, the paper is concerned with the description of finite order entire solutions of the Quadratic type of Fermat functional equation f (z) 2 - 2 μ f (z) f (z + c) + f (z + c) 2 = 1 . [ABSTRACT FROM AUTHOR]
- Subjects :
- *FUNCTIONAL equations
*NEVANLINNA theory
*MEROMORPHIC functions
Subjects
Details
- Language :
- English
- ISSN :
- 00019054
- Volume :
- 94
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Aequationes Mathematicae
- Publication Type :
- Academic Journal
- Accession number :
- 141562137
- Full Text :
- https://doi.org/10.1007/s00010-019-00683-4