Meromorphic functions with sectors free of zeros and poles /
Simon Hellerstein.

Description

Main Author

Hellerstein, Simon

Related Names

United States. Air Force.

Language(s)

English

Published

Washington, D.C. : Mathematical Sciences Directorate, Air Force Office of Scientific Research, 1961/

Subjects

Mathematics.
Functions.

Summary

Let f(z) be a meromorphic function which is not a polynomial. Assume that all the zeros and poles of f lie on the real axis. Let (>0) be given and denote by n (r, k) the number of zeros of fe U., N.Y. MEROMORPHIC FUNCTIONS WITH SECTORS FREE OF ZEROS AND POLES, by Simon Hellerstein. Jan 61, 15p. (Contract AF 49(638)571) (AFOSR-222)Unclassified report DESCRIPTORS: *Mathematics, *Functions. Let f(z) be a meromorphic function which is not a polynomial. Assume that all the zeros and poles of f lie on the real axis. Let (>0) be given and denote by n (r, k) the number of zeros of f(k)(z) (taking multiplicities into account) which lie in the disk z r and outside the angles -

Note

Contract No. AF 49 (638)-571.
January, 1961.

Physical Description

15 pages ; 28 cm

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