Geometrical Theory of Analytic Functions

Oros, Georgia Irina

doi:10.3390/math10183267

Mathematics

2022

DOI: 10.3390/math10183267

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Geometrical Theory of Analytic Functions

Georgia Irina Oros

Abstract: This Special Issue, devoted to the topic of the “Geometric Theory of Analytic Functions”, aims to bring together the newest research achievements of scholars studying the complex-valued functions of one variable [...]

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2023

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Certain differential subordination results for univalent functions associated with $ q $-Salagean operators

Amini

Fardi

Al‐Omari

et al. 2023

MATH

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<abstract><p>In this paper, we employ the concept of the $ q $-derivative to derive certain differential and integral operators, $ D_{q, \lambda}^{n} $ and $ I_{q, \lambda}^{n} $, resp., to generalize the class of Salagean operators over the set of univalent functions. By means of the new operators, we establish the subclasses $ M^n_{q, \lambda} $ and $ D^n_{q, \lambda} $ of analytic functions on an open unit disc. Further, we study coefficient inequalities for each function in the given classes. Over and above, we derive some properties and characteristics of the set of differential subordinations by following specific techniques. In addition, we study the general properties of $ D_{q, \lambda}^{n} $ and $ I_{q, \lambda}^{n} $ and obtain some interesting differential subordination results. Several results are also derived in some details.</p></abstract>

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Certain differential subordination results for univalent functions associated with $ q $-Salagean operators

Amini

Fardi

Al‐Omari

et al. 2023

MATH

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Geometrical Theory of Analytic Functions

Abstract: This Special Issue, devoted to the topic of the “Geometric Theory of Analytic Functions”, aims to bring together the newest research achievements of scholars studying the complex-valued functions of one variable [...]

Cited by 1 publication

References 15 publications

Certain differential subordination results for univalent functions associated with $ q $-Salagean operators

Certain differential subordination results for univalent functions associated with $ q $-Salagean operators

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