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 Univalent functions with positive coefficients involving Pascal distribution series Commun. Korean Math. Soc. 2020 Vol. 35, No. 3, 867-877 https://doi.org/10.4134/CKMS.c190413Published online April 8, 2020Printed July 31, 2020 Teodor Bulboac\u{a}, Gangadharan Murugusundaramoorthy Babe\c{s}-Bolyai University; Vellore Institute of Technology Abstract : The aim of this article is to make a connection between the Pascal distribution series and some subclasses of normalized analytic functions whose coefficients are probabilities of the Pascal distribution. To be more precise, we investigate such connections with the classes of analytic univalent functions with positive coefficients in the open unit disk $\mathbb{U}$. Keywords : Univalent, starlike functions, and convex functions, Hadamard product, Pascal distribution series, Alexander integral operator MSC numbers : Primary 30C45 Downloads: Full-text PDF   Full-text HTML