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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

Content
 

Volumes > Volume 04 > No. 3

 
   

Application of Fractional Calculus to a Class of Multivalent β-Uniformly Convex Functions

PP: 429-445
Author(s)
S. M. Khairnar, Meena More,
Abstract
In this paper we introduce a class of multivalent functions which is β-uniformly convex in the unit disc. Characterization property exhibited and relation with other fractional calculus operators are given. Connections with the popular classes like β-uniformly convex and parabolic convex functions are pointed out. Results on modified Hadamard product, extreme points, growth and distortion theorems, class preserving integral operators, region of p-valency and radius of β-uniform convexity are also derived.

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