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Hölder Inequalities for a Generalized Subclass of Univalent Functions Involving Borel Distributions

Author

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  • Gangadharan Murugusundaramoorthy

    (Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, India
    These authors contributed equally to this work.)

  • Luminiţa-Ioana Cotîrlǎ

    (Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania
    These authors contributed equally to this work.)

Abstract

In this article, by making use of the Borel distributions series, we introduce a new family of normalized holomorphic functions in the open unit disk and investigate necessary and sufficient conditions for functions f to be in this new class. Furthermore, results on the modified Hadamard product, Hölder inequalities, and closure properties under integral transforms and subordination results are discussed in detail.

Suggested Citation

  • Gangadharan Murugusundaramoorthy & Luminiţa-Ioana Cotîrlǎ, 2022. "Hölder Inequalities for a Generalized Subclass of Univalent Functions Involving Borel Distributions," Mathematics, MDPI, vol. 10(14), pages 1-17, July.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:14:p:2430-:d:860943
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    References listed on IDEAS

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    1. Hans Georg Feichtinger, 2022. "Homogeneous Banach Spaces as Banach Convolution Modules over M ( G )," Mathematics, MDPI, vol. 10(3), pages 1-22, January.
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