UNIFORMLY CONVEX AND STARLIKE PROBABILITY DISTRIBUTION

Saurabh Porwal; Poonam Dixit; Ritesh Agarwal; Akhilesh Singh

doi:10.56827/SEAJMMS.2023.1903.37

Saurabh Porwal Department of Mathematics, Ram Sahai Government Degree College, Bairi-Shivrajpur, Kanpur- 209205, (U.P.), INDIA
Poonam Dixit Department of Mathematics, U.I.E.T. Campus, C.S.J.M. University, Kanpur- 208024, (U.P.), INDIA
Ritesh Agarwal Department of Computer Applications, U.I.E.T. Campus, C.S.J.M. University, Kanpur- 208024, (U.P.), INDIA
Akhilesh Singh Department of Computer Applications, U.I.E.T. Campus, C.S.J.M. University, Kanpur- 208024, (U.P.), INDIA

DOI: https://doi.org/10.56827/SEAJMMS.2023.1903.37

Keywords: Probability Distribution, k− uniformly convex function, k− uniformly starlike functions.

Abstract

The purpose of the present paper is to introduce k− uniformly convex and k− uniformly starlike discrete probability distributions and obtain some results regarding moments, factorial moments and moment generating functions for these distributions.