An application of the spread relation to differential equations-Reference-Cited by-同舟云学术

An application of the spread relation to differential equations

Published:1993-06 Issue:2 Volume:36 Page:211-229
ISSN:0013-0915
Container-title:Proceedings of the Edinburgh Mathematical Society
language:en
Short-container-title:Proceedings of the Edinburgh Mathematical Society

Author:

Gundersen Gary G.

Abstract

If a differential equation with meromorphic coefficients has a certain form where the growth of one of the coefficients dominates the growth of the other coefficients in a finite union of angles, then we show that this puts restrictions on the deficiencies of any meromorphic solution of the equation. We use the spread relation in the proofs. Examples are given which show that our results are sharp in several ways. Most of these examples are constructed from the quotients of solutions of w″ + G(z)w = 0 for certain polynomials G(z) and from meromorphic functions which are extremal for the spread relation.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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