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http://dx.doi.org/10.4134/CKMS.c200168

HYPERGEOMETRIC DISTRIBUTION SERIES AND ITS APPLICATION OF CERTAIN CLASS OF ANALYTIC FUNCTIONS BASED ON SPECIAL FUNCTIONS  

Murugusundaramoorthy, Gangadharan (Department of Mathematics School of Advanced Sciences Vellore Institute of Technology (Deemed to be University))
Porwal, Saurabh (Department of Mathematics Ram Sahai Government Degree College)
Publication Information
Communications of the Korean Mathematical Society / v.36, no.4, 2021 , pp. 671-684 More about this Journal
Abstract
The tenacity of the current paper is to find connections between various subclasses of analytic univalent functions by applying certain convolution operator involving generalized hypergeometric distribution series. To be more specific, we examine such connections with the classes of analytic univalent functions k - 𝓤𝓒𝓥* (𝛽), k - 𝓢*p (𝛽), 𝓡 (𝛽), 𝓡𝜏 (A, B), k - 𝓟𝓤𝓒𝓥* (𝛽) and k - 𝓟𝓢*p (𝛽) in the open unit disc 𝕌.
Keywords
Analytic; univalent functions; uniformly convex functions; uniformly starlike functions; generalized hypergeometric function;
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