An Integrodifferential Operator for Meromorphic Functions Associated with the Hurwitz-Lerch Zeta Function

An Integrodifferential Operator for Meromorphic Functions Associated with the Hurwitz-Lerch Zeta Function

In this paper, we introduce a new integrodifferential operator associated with the Hurwitz Lerch Zeta function in the puncture open disk of the meromorphic functions. We also obtain some properties of the third-order differential subordination and superordination for this integrodifferential operato...

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Veröffentlicht in:Filomat 2016-01, Vol.30 (7), p.2045-2057
Hauptverfasser: Attiya, Adel A., Kwon, Oh Sang, Hyang, Park Ji, Cho, Nak Eun
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Analytic functions
Applied mathematics
Mathematical functions
Meromorphic functions
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creator Attiya, Adel A.
Kwon, Oh Sang
Hyang, Park Ji
Cho, Nak Eun
description In this paper, we introduce a new integrodifferential operator associated with the Hurwitz Lerch Zeta function in the puncture open disk of the meromorphic functions. We also obtain some properties of the third-order differential subordination and superordination for this integrodifferential operator, by using certain classes of admissible functions.
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subjects Analytic functions
Applied mathematics
Mathematical functions
Meromorphic functions
title An Integrodifferential Operator for Meromorphic Functions Associated with the Hurwitz-Lerch Zeta Function
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