Some results on the Gamma function and other hypertranscendental functions-Reference-Cited by-同舟云学术

Some results on the Gamma function and other hypertranscendental functions

Published:1978 Issue:3-4 Volume:79 Page:335-341
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Bank Steven B.

Abstract

SynopsisThis paper deals with conditions which guarantee that a meromorphic function on the plane cannot satisfy any algebraic differential equation having coefficients in a given field of meromorphic functions. Some of the conditions are of growth type, while others depend on a representation for the function.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference7 articles.

1. On the growth of certain meromorphic solutions of arbitrary second order algebraic differential equations

2. Ueber die Eigenschaft der Gammafunction keiner algebraischen Differentialgleichung zu genügen

3. An extension of Hölder's theorem concerning the Gamma function;Bank;Funkcial. Ekvac.,1976

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