Certain Subclass of Harmonic Univalent Functions Associated With Fractional Calculus Operator

In this paper, a class of complex-valued harmonic univalent functions f (z) in the open disk U is defined by fractional calculus operator. We obtained coefficient bounds, distortion inequalities, convex combination, extreme points and convolution conditions for this class.

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Publication Details

Journal
International Journal of Scientific Research in Science and Technology
Published
2024-12-12
DOI
https://doi.org/10.32628/ijsrst24114322
Primary Topic
Analytic and geometric function theory
Type
article
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article

Certain Subclass of Harmonic Univalent Functions Associated With Fractional Calculus Operator

A. L. Pathak, Puneet Shukla
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International Journal of Scientific Research in Science and Technology
Analytic and geometric function theory
article

Certain Subclass of Harmonic Univalent Functions Associated With Fractional Calculus Operator

A. L. Pathak, Puneet Shukla
article en

Abstract

In this paper, a class of complex-valued harmonic univalent functions f (z) in the open disk U is defined by fractional calculus operator. We obtained coefficient bounds, distortion inequalities, convex combination, extreme points and convolution conditions for this class.

International Journal of Scientific Research in Science and TechnologyVol. 11(6)
Chhatrapati Shahu Ji Maharaj University (IN)
Openalex Percentile: Top 63%
Analytic and geometric function theory
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Certain Subclass of Harmonic Univalent Functions Associated With Fractional Calculus Operator — A. L. Pathak, Puneet Shukla · International Journal of Scientific Research in Science and Technology (2024) | TGRS Research Map | TGRS