Article overview
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.
Keywords and Phrases
p-valent functionsHilbert spacecoefficient estimatesdistortion boundsextreme points.
AMS Subject Classification
30C45
Reference information
How to Cite
S. Prathiba, Thomas Rosy, S. Sunil Varma (2021). A NEW SUBCLASS OF $p$-VALENT ANALYTIC FUNCTIONS ASSOCIATED WITH HILBERT SPACE OPERATOR. South East Asian Journal of Mathematics and Mathematical Sciences, 17(2), 35-48.