Results on a class of analytic functions with finitely many fixed coefficients related to a generalised multiplier transformation

Oluwayemi, Matthew Olanrewaju; Lupaş, Alina Alb; Cătaş, Adriana

doi:10.1016/j.sciaf.2022.e01115

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Introduction Definitions and Preliminaries1

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2022

2023

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Cited by 2 publications

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“…In a wide range of applications in the mathematical, physical, and engineering sciences, the theory of q-calculus is important. Jackson [4,5] was the first to use the qcalculus in various applications and to introduce the q-analogue of the standard derivative and integral operators; see [6][7][8][9][10]. About coefficients' interesting results, see [11][12][13][14][15][16].…”

Section: Introduction Definitions and Preliminariesmentioning

confidence: 99%

Coefficient Bounds for Symmetric Subclasses of q-Convolution-Related Analytical Functions

El-Deeb

Cotîrlǎ

2023

Symmetry

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Section: Introduction Definitions and Preliminariesmentioning

confidence: 99%

Coefficient Bounds for Symmetric Subclasses of q-Convolution-Related Analytical Functions

El-Deeb

Cotîrlǎ

2023

Symmetry

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Applications of the Atangana–Baleanu Fractional Integral Operator

Lupaş¹,

Cătaş²

2022

Symmetry

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Applications of the Atangana–Baleanu fractional integral were considered in recent studies related to geometric function theory to obtain interesting differential subordinations. Additionally, the multiplier transformation was used in many studies, providing elegant results. In this paper, a new operator is defined by combining those two prolific functions. The newly defined operator is applied for introducing a new subclass of analytic functions, which is investigated concerning certain properties, such as coefficient estimates, distortion theorems, closure theorems, neighborhoods and radii of starlikeness, convexity and close-to-convexity. This class may have symmetric or asymmetric properties. The results could prove interesting due to the new applications of the Atangana–Baleanu fractional integral and of the multiplier transformation. Additionally, the univalence properties of the new subclass of functions could inspire researchers to conduct further investigations related to this newly defined class.

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Results on a class of analytic functions with finitely many fixed coefficients related to a generalised multiplier transformation

Cited by 2 publications

References 5 publications

Coefficient Bounds for Symmetric Subclasses of q-Convolution-Related Analytical Functions

Coefficient Bounds for Symmetric Subclasses of q-Convolution-Related Analytical Functions

Applications of the Atangana–Baleanu Fractional Integral Operator

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