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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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
Keywords
- Meromorphic functions
- Differential subordinations and superordinations
- Subordination chain
- Analytic integral operators
- Hypergeometric functions