A new subclass of certain analytic univalent functions associated with hypergeometric functions

Abstract

The main objective of the present paper is to give with using the linear operator theory and also hypergeometric representations of related functions a new special subclass $TS_p(2^{−r} , 2^{−1} ), r ∈ Z^+$ of uniformly convex functions and in addition a suitable subclass of starlike functions with negative Taylor coefficients. Furthermore, the provided trailblazer outcomes in presented study are generalized to certain functions classes with fixed finitely many Taylor coefficients.