A lower bound for the number of zeros of a meromorphic function and its second derivative-Reference-Cited by-同舟云学术

A lower bound for the number of zeros of a meromorphic function and its second derivative

Published:1996-02 Issue:1 Volume:39 Page:171-185
ISSN:0013-0915
Container-title:Proceedings of the Edinburgh Mathematical Society
language:en
Short-container-title:Proceedings of the Edinburgh Mathematical Society

Author:

Langley J. K.

Abstract

We prove that for a function f(z) transcendental and meromorphic in the plane and not of the form exp(az + b), we have either N(r, 1/ff″)≠0(T(r, f′/f)) or .

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference18 articles.

1. Picard Values of Meromorphic Functions and their Derivatives

2. On Second Order Linear Differential Polynomials

3. On the fixpoints of composite entire functions of finite order

4. �ber die Nullstellen meromorpher Funktionen und deren Ableitungen

5. 11. Laine I. , Nevanlinna theory and complex differential equations (de Gruyter Studies in Math. 15, Walter de Gruyter, Berlin/New York 1993).

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