Generalized hypergeometric distribution and its applications on univalent functions

DOI10.1186/s13660-020-02515-5zbMath1503.30047OpenAlexW3108329833MaRDI QIDQ2069594

Rajavadivelu Themangani, Saurabh Porwal, Nanjundan Magesh

Publication date: 20 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-020-02515-5

zbMATH Keywords

probability distributiongeneralized hypergeometric functionunivalent functionsanalyticuniformly convex and starlike functions

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Conformal mappings of special domains (30C20) Extremal problems for conformal and quasiconformal mappings, other methods (30C75) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (4)

Unnamed Item ⋮ Expectation identity of the hypergeometric distribution and its application in the calculations of high-order origin moments ⋮ Subclass of analytic functions with negative coefficients related with Miller-Ross-type Poisson distribution series ⋮ On certain properties of a univalent function associated with beta function

Cites Work

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• An application of a Poisson distribution series on certain analytic functions
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• Pascal Distribution Series Connected with Certain Subclasses of Univalent Functions
• SOME PROPERTIES OF CONVOLUTION FOR HYPERGEOMETRIC DISTRIBUTION TYPE SERIES ON CERTAIN ANALYTIC UNIVALENT FUNCTIONS
• On uniformly convex functions

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