A Class of Bi-Univalent Functions in a Leaf-Like Domain Defined through Subordination via <mml:semantics>q</mml:semantics>-Calculus

被引：13

作者：

Alsoboh, Abdullah ^{[1
]}

Oros, Georgia Irina ^{[2
]}

机构：

[1] Philadelphia Univ, Fac Sci, Dept Math, Amman 19392, Jordan

[2] Univ Oradea, Dept Math & Comp Sci, Oradea 410087, Romania

来源：

MATHEMATICS | 2024年 / 12卷 / 10期

关键词：

analytic functions; Taylor-Maclaurin coefficients; univalent functions; bi-univalent functions; starlike class; q-calculus; leaf-like domain; Fekete-Szeg & ouml; problem; subordination; FRACTIONAL Q-INTEGRALS;

D O I：

10.3390/math12101594

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Bi-univalent functions associated with the leaf-like domain within open unit disks are investigated, and a new subclass is introduced and studied in the research presented here. This is achieved by applying the subordination principle for analytic functions in conjunction with q-calculus. The class is proved to not be empty. By proving its existence, generalizations can be given to other sets of functions. In addition, coefficient bounds are examined with a particular focus on |alpha(2|) and |alpha(3)| coefficients, and Fekete-Szego inequalities are estimated for the functions in this new class. To support the conclusions, previous works are cited for confirmation.

引用

页数：15

共 33 条

[1] CERTAIN FRACTIONAL Q-INTEGRALS AND Q-DERIVATIVES [J].

AGARWAL, RP .

PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1969, 66 :365-&

[2] Univalent Functions Associated with the Symmetric Points and Cardioid-shaped Domain Involving (p,q)-calculus [J].

Ahuja, Om ;

Bohra, Nisha ;

Cetinkaya, Asena ;

Kumar, Sushil .

KYUNGPOOK MATHEMATICAL JOURNAL, 2021, 61 (01) :75-98

[3] On a subclass of bi-univalent functions associated with the q-derivative operator [J].

Aldweby, Huda ;

Darus, Maslina .

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2019, 19 (01) :58-64

[4] Some Subordination Results on q-Analogue of Ruscheweyh Differential Operator [J].

Aldweby, Huda ;

Darus, Maslina .

ABSTRACT AND APPLIED ANALYSIS, 2014,

[5] Differential subordination and superordination studies involving symmetric functions using a q-analogue multiplier operator [J].

Ali, Ekram E. ;

Oros, Georgia Irina ;

Albalahi, Abeer M. .

AIMS MATHEMATICS, 2023, 8 (11) :27924-27946

[6] SOME FRACTIONAL Q-INTEGRALS AND Q-DERIVATIVES [J].

ALSALAM, WA .

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 1966, 15 :135-&

[7]

Alsoboh A, 2023, Preprints, DOI [10.20944/preprints202306.1002.v1, 10.20944/preprints202306.1002.v1, DOI 10.20944/PREPRINTS202306.1002.V1]

[8] Coefficient Estimation Utilizing the Faber Polynomial for a Subfamily of Bi-Univalent Functions [J].

Alsoboh, Abdullah ;

Amourah, Ala ;

Sakar, Fethiye Muge ;

Ogilat, Osama ;

Gharib, Gharib Mousa ;

Zomot, Nasser .

AXIOMS, 2023, 12 (06)

[9] Studying the Harmonic Functions Associated with Quantum Calculus [J].

Alsoboh, Abdullah ;

Amourah, Ala ;

Darus, Maslina ;

Rudder, Carla Amoi .

MATHEMATICS, 2023, 11 (10)

[10] Investigating New Subclasses of Bi-Univalent Functions Associated with q-Pascal Distribution Series Using the Subordination Principle [J].

Alsoboh, Abdullah ;

Amourah, Ala ;

Darus, Maslina ;

Rudder, Carla Amoi .

SYMMETRY-BASEL, 2023, 15 (05)

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