On estimates of a fractional counterpart of the logarithmic derivative of a meromorphic function
Journal: Matematychni Studii (Vol.39, No. 1)Publication Date: 2013-01-01
Authors : Chyzhykov I. E.; Semochko N. S.;
Page : 107-112
Keywords : Riemann-Liouville operator; fractional derivative; fractional differential equation; logarithmic derivative; meromorphic function; Nevanlinna’s characteristic; growth;
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.
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