A NEW SUBCLASS OF $p$-VALENT ANALYTIC FUNCTIONS ASSOCIATED WITH HILBERT SPACE OPERATOR

Abstract

In this paper, we define a new subclass of $M(\alpha,A,B,p,\mathbb{T})$ of $p$-valent analytic functions associated with Hilbert Space operator. For this new subclass of functions, we determine the coefficient estimate, growth and distortion bounds along with extreme points. Furthermore, we consider applications of fractional calculus on functions in this subclass.