On the zeros of the derivatives of some entire functions of finite order

Author:

Gethner Robert M.

Abstract

Given a function f meromorphic in the plane, and complex numbers w and a, call w an a-point of f(k) if f(k)(w) = a. Denote by Λ(a,f) the set of z∈ℂ such that every neighborhood of z contains a-points of infinitely many of the functions f(k). Adapting the terminology of Pólya [16], who introduced the sets Λ(a,f) in [15],we call Λ(a,f) the final set of f with respect to a.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference19 articles.

1. On the zeros of the derivatives of a function and its analytic character

2. On the zeros of the derivatives of some entire functions

3. 13. Mcleod R. M. , On the zeros of the derivatives of some entire functions (Ph.D. thesis, The Rice Institute, Houston, 1955).

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