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Open Access Research Article

Investigating utilizations of harmonic univalent functions employing the Prabhakar fractional operator within specific categories

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pp. 1099–1108Vol. 27Issue 5August 2024DOI: 10.47974/JIM-1936XML
Received:
06 Mar 2024
Published Online:
30 Aug 2024
Article type:
Research Article
Language:
EN
Article no.:
JIM-1936
Pages:
1099–1108

Abstract

This study delves into innovative categories of harmonic functions that are established using a fractional operator. Initially, we establish fresh sets of harmonic functions by utilizing the Prabhakar fractional operator. Following that, we deduce the primary findings of our research, which encompass comprehensive and fundamental limits on coefficients for functions linked to the newly introduced categories. Furthermore, we offer various specific attributes related to the characterization of these categories. These properties encompass extreme points, convex mixtures. To sum up, we furnish a range of conclusions derived from the primary findings.

Keywords

Subject Classifications

30C4530C5032A1032A5033E1234A0842A85

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