Some Applications of Fractional Calclus Operator

Authors: Bonala Madhavi

DOI: https://doi.org/10.37082/IJIRMPS.v14.i5.233213

Short DOI: https://doi.org/hcjc5d

Country: India

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Abstract: The aim of this paper is to discuss a new subclass TS(ℏ,σ,ς,ϑ) of univalent functions with negative coefficients related to fractional calclus operator in the unit disk U={z∈C:|z|<1}. We obtain basic properties like coefficient inequality, distortion and covering theorem, radii of starlikeness, convexity and close-to-convexity, extreme points, Hadamard product, and closure theorems for functions belonging to our class.
2020 Mathematical Sciences Classification. 30C45.

Keywords: univalent , fractional operator , starlike, extreme points, Hadamard product.

Paper Id: 233213

Published On: 2026-09-11

Published In: Volume 14, Issue 5, September-October 2026

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