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

Gangadharan Murugusundaramoorthy and Luminiţa-Ioana Cotîrlǎ
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Gangadharan Murugusundaramoorthy: Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, India
Luminiţa-Ioana Cotîrlǎ: Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania

Mathematics, 2022, vol. 10, issue 14, 1-17

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.

Keywords: univalent; starlike function; convex function; coefficient bounds; convolution properties; Borel distribution; Hölder inequality; subordination (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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