A comprehensive subclass of bi-univalent functions defined by a linear combination and satisfying subordination conditions

被引：2

作者：

Srivastava, Hari Mohan ^{[1
,2
,3
]}

Sabir, Pishtiwan Othman ^{[4
]}

Abdullah, Khalid Ibrahim ^{[5
]}

Mohammed, Nafya Hameed ^{[5
]}

Chorfi, Nejmeddine ^{[6
]}

Mohammed, Pshtiwan Othman ^{[7
]}

机构：

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

[2] Int Telematic Univ Uninettuno, Sect Math, I-00186 Rome, Italy

[3] Kyung Hee Univ, Ctr Converging Humanities, 26 Kyungheedae Ro, Seoul 02447, South Korea

[4] Univ Sulaimani, Coll Sci, Dept Chem, Sulaimani 46001, Kurdistan Regio, Iraq

[5] Univ Raparin, Coll Basic Educ, Dept Math, Ranya, Kurdistan Regio, Iraq

[6] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia

[7] Univ Sulaimani, Coll Educ, Dept Math, Sulaimani 46001, Kurdistan Regio, Iraq

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 12期

关键词：

holomorphic functions; bi-univalent functions; coefficient estimates; starlike functions; convex functions; Ruscheweyh derivative; subordination;

D O I：

10.3934/math.20231533

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we derive some estimates for the Taylor-Maclaurin coefficients of functions that belong to a new general subclass (sic)(Sigma)(delta, rho, tau, n; phi) of bi-univalent functions in an open unit disk, which is defined by using the Ruscheweyh derivative operator and the principle of differential subordination between holomorphic functions. Our results are more accurate than the previous works and they generalize and improve some outcomes that have been obtained by other researchers. Under certain conditions, the derived bounds are smaller than those in the previous findings. Furthermore, if we specialize the parameters, several repercussions of this generic subclass will be properly obtained.

引用

页码：29975 / 29994

页数：20

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