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On estimates of a fractional counterpart of the logarithmic derivative of a meromorphic function

Journal: Matematychni Studii (Vol.39, No. 1)

Publication Date:

Authors : ; ;

Page : 107-112

Keywords : Riemann-Liouville operator; fractional derivative; fractional differential equation; logarithmic derivative; meromorphic function; Nevanlinna’s characteristic; growth;

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Abstract

We consider the problem of finding lower bounds for growth of solutions of a fractional differential equation in the complex plane. We estimate a fractional integral of the logarithmic derivative of a meromorphic function.

Last modified: 2014-01-13 20:09:00