Starlike and convex properties for Poisson distribution series

Starlike and Convex Properties for Hypergeometric Functions

The purpose of the present paper is to give some characterizations for a Gaussian hypergeometric function to be in various subclasses of starlike and convex functions. We also consider an integral operator related to the hypergeometric function.

Some properties and results for certain subclasses of starlike and convex functions

In the present paper, we introduce and investigate some properties of two subclasses $ Lambda_{n}( lambda , beta ) $ and $ Lambda_{n}^{+}( lambda , beta ) $;  meromorphic and starlike  functions of order $ beta $. In particular, several inclusion relations, coefficient estimates, distortion theorems and covering theorems are proven here for each of these function classes.

A Study on Starlike and Convex Properties for Hypergeometric Functions

The objective of the present paper is to give some characterizations for a (Gaussian) hypergeometric function to be in various subclasses of starlike and convex functions. We also consider an integral operator related to the hypergeometric function.

New Properties for Starlike and Convex Functions of Complex Order

Abstract For functions f(z) which are starlike of complex order b (b = 0) in the open unit disk U introduced by M. A. Nasr and M. K. Aouf (J. Natural Sci. Math. 25(1985), 1 12), in consideration of its properties, some sufficient conditions, necessary conditions and distortion theorems with coefficient inequalities of f(z) as the improvement of the well-known result due to H. Silverman (Proc. A...

Convex and Starlike Univalent Functions