loading page

A Certain Subclass Of Uniformly Convex Functions With Negative Coefficients Defined By Gegenbauer Polynomials
  • +1
  • B. Venkateswarlu,
  • Thirupathi Reddy P,
  • Sridevi S,
  • tha Suj
B. Venkateswarlu
GITAM Univ
Author Profile
Thirupathi Reddy P
Kakatiya University
Author Profile
Sridevi S
GITAM University - Bengaluru Campus
Author Profile
tha Suj
GITAM University - Bengaluru Campus
Author Profile

Abstract

In dis paper, we introduce a new subclass of uniformly convex functions wif negative coefficients defined by Gegenbauer polynomials. We obtain teh coefficient bounds, growth distortion properties, extreme points and radii of close-to-convexity, starlikeness and convexity for functions belonging to teh class $TS( \upsilon, \varrho , \lambda, t ).$ Furthermore, we obtained modified Hadamard product, convolution and integral operators for dis class.