A generalization of a theorem of P. Montel on entire functions

Author:

Yang Chung-chun

Abstract

This paper investigates the functional equation a ( z ) f n ( z ) + b ( z ) g m ( z ) = 1 a(z){f^n}(z) + b(z){g^m}(z) = 1 ( a , b , f , g a,b,f,g meromorphic).

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference4 articles.

1. On the equation 𝑓ⁿ+𝑔ⁿ=1;Gross, Fred;Bull. Amer. Math. Soc.,1966

2. Oxford Mathematical Monographs;Hayman, W. K.,1964

3. Elementary proof of a theorem of P. Montel on entire functions;Jategaonkar, A. V.;J. London Math. Soc.,1965

4. P. Montel, Leçons sur les familles normales, Gauthier-Villars, Paris, 1927, pp. 135-136.

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