On Subclass of Analytic Functions Defined by q-Analogue of Modified Tremblay Fractional Derivative Operator

In this research, by using the principle of quantum calculus, we introduce a modified fractional derivative operator $\mathcal{T}^{\xi,\digamma}_{q,\varsigma}$ of the analytic functions in the open unit disc $\diamondsuit=\{\varsigma:\varsigma\in\mathbb{C},|\varsigma|

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Publication Details

Journal
Proceedings of International Mathematical Sciences
Published
2024-10-14
DOI
https://doi.org/10.47086/pims.1535676
Primary Topic
Analytic and geometric function theory
Type
article
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article

On Subclass of Analytic Functions Defined by q-Analogue of Modified Tremblay Fractional Derivative Operator

Waggas Galib Atshan, Abdullah Alsoboh
Proceedings of International Mathematical Sciences
Analytic and geometric function theory
article

On Subclass of Analytic Functions Defined by q-Analogue of Modified Tremblay Fractional Derivative Operator

Waggas Galib Atshan, Abdullah Alsoboh
article en

Abstract

In this research, by using the principle of quantum calculus, we introduce a modified fractional derivative operator $\mathcal{T}^{\xi,\digamma}_{q,\varsigma}$ of the analytic functions in the open unit disc $\diamondsuit=\{\varsigma:\varsigma\in\mathbb{C},|\varsigma|

Proceedings of International Mathematical SciencesVol. 6(2)
Reduced inequalities
Openalex Percentile: Top 72%
Analytic and geometric function theory
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On Subclass of Analytic Functions Defined by q-Analogue of Modified Tremblay Fractional Derivative Operator — Waggas Galib Atshan, Abdullah Alsoboh · Proceedings of International Mathematical Sciences (2024) | TGRS Research Map | TGRS