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Application of Fractional Calculus to a Class of Multivalent β-Uniformly Convex Functions |
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PP: 429-445 |
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Author(s) |
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S. M. Khairnar,
Meena More,
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Abstract |
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| 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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