Coefficient Bounds for a Family of s-Fold Symmetric Bi-Univalent Functions

被引：10

作者：

Al-shbeil, Isra ^{[1
]}

Khan, Nazar ^{[2
]}

Tchier, Fairouz ^{[3
]}

Xin, Qin ^{[4
]}

Malik, Sarfraz Nawaz ^{[5
]}

Khan, Shahid ^{[2
]}

机构：

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

[2] Abbottabad Univ Sci & Technol, Dept Math, Abbottabad 22500, Pakistan

[3] King Saud Univ, Coll Sci, Math Dept, POB 22452, Riyadh 11495, Saudi Arabia

[4] Univ Faroe Isl, Fac Sci & Technol, Vestarabryggja 15,FO 100 Torshavn, Faroe Isl, Denmark

[5] COMSATS Univ Islamabad, Dept Math, Wah Campus, Wah Cantt 47040, Pakistan

来源：

AXIOMS | 2023年 / 12卷 / 04期

关键词：

analytic functions; univalent functions; bi-univalent functions; m-fold symmetric functions; coefficient estimates; SUBCLASSES; STARLIKE; HANKEL;

D O I：

10.3390/axioms12040317

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a new family of s-fold symmetrical bi-univalent functions in the open unit disc in this work. We provide estimates for the first two Taylor-Maclaurin series coefficients for these functions. Furthermore, we define the Salagean differential operator and discuss various applications of our main findings using it. A few new and well-known corollaries are studied in order to show the connection between recent and earlier work.

引用

页数：17

共 53 条

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Al-Shbeil, Isra ;

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Benali, Abdelkader ;

Catas, Adriana .

JOURNAL OF MATHEMATICS, 2022, 2022

[2] Coefficients Inequalities for the Bi-Univalent Functions Related to q-Babalola Convolution Operator [J].

Al-shbeil, Isra ;

Gong, Jianhua ;

Shaba, Timilehin Gideon .

FRACTAL AND FRACTIONAL, 2023, 7 (02)

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Al-Shbeil, Isra ;

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Srivastava, Hari Mohan ;

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AXIOMS, 2023, 12 (01)

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Al-shbeil, Isra ;

Gong, Jianhua ;

Khan, Shahid ;

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Khan, Mohammad Faisal ;

Goswami, Anjali .

FRACTAL AND FRACTIONAL, 2022, 6 (11)

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Al-Shbeil, Isra ;

Wanas, Abbas Kareem ;

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AXIOMS, 2022, 11 (09)

[6] Some Geometrical Results Associated with Secant Hyperbolic Functions [J].

Al-Shbeil, Isra ;

Saliu, Afis ;

Catas, Adriana ;

Malik, Sarfraz Nawaz ;

Oladejo, Semiu Oladipupo .

MATHEMATICS, 2022, 10 (15)

[7] Majorization Results Based upon the Bernardi Integral Operator [J].

Al-Shbeil, Isra ;

Srivastava, Hari Mohan ;

Arif, Muhammad ;

Haq, Mirajul ;

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Khan, Bilal .

SYMMETRY-BASEL, 2022, 14 (07)

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Al-Shbeil, Isra ;

Shaba, Timilehin Gideon ;

Catas, Adriana .

FRACTAL AND FRACTIONAL, 2022, 6 (04)

[9] A Special Family of m-Fold Symmetric Bi-Univalent Functions Satisfying Subordination Condition [J].

Aldawish, Ibtisam ;

Swamy, Sondekola Rudra ;

Frasin, Basem Aref .

FRACTAL AND FRACTIONAL, 2022, 6 (05)

[10] Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions [J].

Ali, Rosihan M. ;

Lee, See Keong ;

Ravichandran, V. ;

Supramaniam, Shamani .

APPLIED MATHEMATICS LETTERS, 2012, 25 (03) :344-351

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