Coefficient Estimates of New Families of Analytic Functions Associated with q-Hermite Polynomials

被引：13

作者：

Al-Shbeil, Isra ^{[1
]}

Catas, Adriana ^{[2
]}

Srivastava, Hari Mohan ^{[3
,4
,5
,6
]}

Aloraini, Najla ^{[7
]}

机构：

[1] Univ Jordan, Fac Sci, Dept Math, Amman 11942, Jordan

[2] Univ Oradea, Dept Math & Comp Sci, 1 Univ St, Oradea 410087, Romania

[3] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

[4] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

[5] Azerbaijan Univ, Dept Math & Informat, 71 Jeyhun Hajibeyli St, AZ-1007 Baku, Azerbaijan

[6] Int Telemat Univ Uninettuno, Sect Math, I-00186 Rome, Italy

[7] Qassim Univ, Coll Sci & Arts Onaizah, Dept Math, POB 6640, Buraydah 51452, Saudi Arabia

来源：

AXIOMS | 2023年 / 12卷 / 01期

关键词：

q-convolution operator; coefficient estimates; q-Hermite; bi-univalent functions; Babalola operator; CALCULUS;

D O I：

10.3390/axioms12010052

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce two new subclasses of bi-univalent functions using the q-Hermite polynomials. Furthermore, we establish the bounds of the initial coefficients upsilon(2), upsilon(3), and upsilon(4) of the Taylor-Maclaurin series and that of the Fekete-Szego functional associated with the new classes, and we give the many consequences of our findings.

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页数：14

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