A Special Family of m-Fold Symmetric Bi-Univalent Functions Satisfying Subordination Condition

被引：6

作者：

Aldawish, Ibtisam ^{[1
]}

Swamy, Sondekola Rudra ^{[2
]}

Frasin, Basem Aref ^{[3
]}

机构：

[1] Imam Mohammad IBN Saud Islamic Univ, Coll Sci, Dept Math & Stat, POB 90950, Riyadh 11623, Saudi Arabia

[2] RV Coll Engn, Dept Comp Sci & Engn, Bengaluru 560059, Karnataka, India

[3] Al Al Bayt Univ, Fac Sci, Dept Math, Mafraq 25113, Jordan

来源：

FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 05期

关键词：

bi-univalent functions; coefficient estimates; Fekete-Szego functional; m-fold symmetric bi-univalent functions; COEFFICIENT BOUNDS; SUBCLASSES;

D O I：

10.3390/fractalfract6050271

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce a special family m(sigma m) (tau, nu, eta, phi) of the function family (sigma m) of m-fold symmetric bi-univalent functions defined in the open unit disc D and obtain estimates of the first two Taylor-Maclaurin coefficients for functions in the special family. Further, the Fekete-Szego functional for functions in this special family is also estimated. The results presented in this paper not only generalize and improve some recent works, but also give new results as special cases.

引用

页数：13

共 37 条

[1] THE FEKETE-SZEGO COEFFICIENT INEQUALITY FOR A NEW CLASS OF m-FOLD SYMMETRIC BI-UNIVALENT FUNCTIONS SATISFYING SUBORDINATION CONDITION [J].

Akgul, Arzu .

HONAM MATHEMATICAL JOURNAL, 2018, 40 (04) :733-748

[2] Coefficient Bounds for Certain Subclasses of m-Fold Symmetric Biunivalent Functions [J].

Altinkaya, Sahsene ;

Yalcin, Sibel .

JOURNAL OF MATHEMATICS, 2015, 2015

[3] Coefficient bounds for Al-Oboudi type bi-univalent functions connected with a modified sigmoid activation function and k-Fibonacci numbers [J].

Amourah, Ala ;

Frasin, Basem Aref ;

Swamy, Sondekola Rudra ;

Sailaja, Yerragunta .

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2022, 27 (02) :105-117

[4]

Brannan D.A., 1985, Math. Anal. Appl., V3, P18

[5] COEFFICIENT ESTIMATES FOR A CLASS OF STAR-LIKE FUNCTIONS [J].

BRANNAN, DA ;

CLUNIE, J ;

KIRWAN, WE .

CANADIAN JOURNAL OF MATHEMATICS, 1970, 22 (03) :476-&

[6] The Study of the New Classes of m-Fold Symmetric bi-Univalent Functions [J].

Breaz, Daniel ;

Cotirla, Luminita-Ioana .

MATHEMATICS, 2022, 10 (01)

[7] Comprehensive subclass of m-fold symmetric bi-univalent functions defined by subordination [J].

Bulut, Serap ;

Salehian, Safa ;

Motamednezhad, Ahmad .

AFRIKA MATEMATIKA, 2021, 32 (3-4) :531-541

[8]

Deniz E., 2013, J. Class. Anal, V2, P49, DOI DOI 10.7153/JCA-02-05

[9]

Duren P.T., 1983, Univalent Functions

[10]

Fekete M., 1933, J. Lond. Math. Soc., V8, P85, DOI [10.1112/jlms/s1-8.2.85, DOI 10.1112/JLMS/S1-8.2.85]

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