Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2003; 40(2): 235-241

Printed June 1, 2003

Copyright © The Korean Mathematical Society.

Zeros of solutions of second order linear differential equations with coefficients of small lower growth

Wang Sheng

Tsinghua University

Abstract

It is proved that the product of any two linearly independent meromorphic solutions of second order linear differential equations with coefficients of small lower growth must have infinite exponent of convergence of its zero-sequences, under some suitable conditions.

Keywords: meromorphic solution, linear differential equation, exponent of convergence of zero-sequences, growth order

MSC numbers: 30D35, 34M05, 34M10