A Certain Subclass Of Uniformly Convex Functions With Negative
Coefficients Defined By Gegenbauer Polynomials
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.