Articles
Kyungpook Mathematical Journal 2018; 58(3): 495-505
Published online September 30, 2018
Copyright © Kyungpook Mathematical Journal.
Confluent Hypergeometric Distribution and Its Applications on Certain Classes of Univalent Functions of Conic Regions
Saurabh Porwal
Department of Mathematics, UIET, CSJM University, Kanpur-208024, (U. P.), India
e-mail : saurabhjcb@rediffmail.com
Received: May 27, 2016; Revised: July 16, 2018; Accepted: August 6, 2018
The purpose of the present paper is to investigate Confluent hypergeometric distribution. We obtain some basic properties of this distribution. It is worthy to note that the Poisson distribution is a particular case of this distribution. Finally, we give a nice application of this distribution on certain classes of univalent functions of the conic regions.
Keywords: confluent hypergeometric series, univalent functions, starlike functions, convex functions, uniformly convex functions.