Vol. 13(1). Jan. 2022, No. 2, pp. 9-20.

SUBCLASS OF UNIFORMLY CONVEX FUNCTIONS WITH NEGATIVE COEFFICIENTS DEFINED BY LINEAR FRACTIONAL DIFFERENTIAL OPERATOR
Vol. 13(1) Jan. 2022, No. 2, pp. 9-20
AKANKSHA S. SHINDE, RAJKUMAR N. INGLE, P. THIRUPATHI REDDY AND B. VENKATESWARLU

Abstract

In this paper, we introduce a new subclass of uniformly convex functions with negative coefficients defined by linear fractional differential operator. We obtain the coefficient bounds, growth distortion properties, extreme points and radii of close-to-convexity, starlikeness and convexity for functions belonging to the class T S(υ, ϱ, µ, s, m). Furthermore, we obtained modified Hadamard product, convolution and integral operators for this class.


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