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Yosida functions and Picard values of integral functions and their derivatives

Published online by Cambridge University Press:  17 April 2009

Chen Huaihui
Chen Huaihui
Affiliation:
Department of Mathematics, Nanjing Normal University, Nanjing, Jiangsu 210024, People's Republic of China
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Abstract

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In this paper we improve and generalise a result of J. Clunie by proving that if f(z) is a transcendental integral function with only zeros of order at least k + 1, then f(k)(z) assumes every finite non-zero complex value infinitely often. Also, the related criterion for normality of a family of holomorphic functions is given, and the value distribution of f2 + afk is discussed.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 54 , Issue 3 , December 1996 , pp. 373 - 381
Copyright
Copyright © Australian Mathematical Society 1996

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