Open AccessSome Geometric Properties for a Class of Analytic Functions Defined by Beta Negative Binomial Distribution Series
Author(s) -
Abbas Kareem Wanas,
Hussein Mohammed Ahsoni
Publication year - 2022
Publication title -
earthline journal of mathematical sciences
Language(s) - English
Resource type - Journals
ISSN - 2581-8147
DOI - 10.34198/ejms.9122.105116
Subject(s) - mathematics , series (stratigraphy) , negative binomial distribution , beta (programming language) , geometric series , binomial coefficient , beta distribution , subclass , class (philosophy) , distribution (mathematics) , beta negative binomial distribution , representation (politics) , extreme point , binomial distribution , mathematical analysis , pure mathematics , beta binomial distribution , combinatorics , statistics , power series , computer science , paleontology , artificial intelligence , politics , political science , antibody , law , immunology , poisson distribution , biology , programming language
In the present paper, we introduce and study a subclass of analytic and univalent functions associated with Beta negative binomial distribution series which is defined in the open unit disk U. We discuss some important geometric properties of this subclass, like, coefficient estimates, extreme points and integral representation. Also, we obtain results about integral mean associated with fractional integral.