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Strong Differential Subordination and Superordination for Multivalently Meromorphic Functions Involving the Hurwitz–Lerch Zeta Function

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Abstract

An integral operator for meromorphic multivalent function in the punctured unit disk is introduced by means of Hurwitz–Lerch Zeta function. Strong differential subordination and superordination results associated with the operator are obtained by investigating appropriate classes of admissible functions.

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Authors and Affiliations

  1. Department of Mathematics, Govt. Engineering College, Bikaner, 334001, India

    Amit Soni

  2. Department of Mathematics, Govt. Dungar College, Bikaner, 334001, India

    Shashi Kant

  3. Department of Mathematics, Central University of Rajasthan, NH-48, Bandarsindri, Kishangarh, Dist.-Ajmer, Rajasthan, India

    J. K. Prajapat

Authors
  1. Amit Soni
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  2. Shashi Kant
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  3. J. K. Prajapat
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Correspondence to J. K. Prajapat.

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Soni, A., Kant, S. & Prajapat, J.K. Strong Differential Subordination and Superordination for Multivalently Meromorphic Functions Involving the Hurwitz–Lerch Zeta Function. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 85, 385–393 (2015). https://doi.org/10.1007/s40010-015-0211-7

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  • DOI: https://doi.org/10.1007/s40010-015-0211-7

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