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

Published online by Cambridge University Press:  20 January 2009

Robert M. Gethner
Robert M. Gethner
Affiliation:
Northern Illinois University, Dekalb, Illinois 60115, USA
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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.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 28 , Issue 3 , October 1985 , pp. 381 - 407
Copyright
Copyright © Edinburgh Mathematical Society 1985

References

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