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Subordination and superordination preserving properties for families of integral operators for meromorphic functions

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Abstract

In this paper we obtain subordination, superordination, and sandwich-type results related to certain family of integral operators defined on the space of meromorphic functions in the open unit disk. Also, an application of the subordination and superordination theorems to the Gauss hypergeometric function are considered, and the main new results generalize some previously well-known sandwich-type theorems.

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Acknowledgements

The first author would like to thank Professor Joao Morais from the Instituto Tecnológico Autónomo de México (ITAM) for his kind hospitality during her stay in Mexico.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shebin Elkom, 32511, Egypt

    Hanaa M. Zayed

  2. Department of Mathematics, ITAM, Río Hondo #1, Col. Progreso Tizapán, 01080, Mexico City, DF, Mexico

    Hanaa M. Zayed

  3. Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt

    Mohamed K. Aouf

  4. Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084, Cluj-Napoca, Romania

    Teodor Bulboacă

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  1. Hanaa M. Zayed
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  2. Mohamed K. Aouf
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  3. Teodor Bulboacă
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Correspondence to Hanaa M. Zayed.

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Zayed, H.M., Aouf, M.K. & Bulboacă, T. Subordination and superordination preserving properties for families of integral operators for meromorphic functions. Anal.Math.Phys. 10, 11 (2020). https://doi.org/10.1007/s13324-020-00354-7

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  • DOI: https://doi.org/10.1007/s13324-020-00354-7

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