Certain subclasses of Spiral-like univalent functions related with Pascal distribution series

Abstract

The purpose of the present paper is to find the sufficient conditions for the subclasses of analytic functions associated with Pascal distribution to be in subclasses of spiral-like univalent functions and inclusion relations for such subclasses in the open unit disk 𝔻. Further, we consider the properties of integral operator related to Pascal distribution series. Several corollaries and consequences of the main results are also considered.

Keywords

• univalent
• spiral-like functions
• starlike functions
• convex functions
• alexander integral operator
• hadamard product
• pascal distribution series
• 30c45