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Matematychni Studii 2013
On estimates of a fractional counterpart of the logarithmic derivative of a meromorphic functionKeywords: 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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