Bi-Starlike Function of Complex Order Involving Mathieu-Type Series in the Shell-Shaped Region

被引：0

作者：

Elshazly, Ibrahim S. ^{[1
]}

Murugusundaramoorthy, Gangadharan ^{[2
]}

Halouani, Borhen ^{[3
]}

El-Qadeem, Alaa H. ^{[4
]}

Vijaya, Kaliappan ^{[2
]}

机构：

[1] King Saud Univ, Dept Basic Sci, Common Year Deanship 1, Riyadh 11451, Saudi Arabia

[2] Vellore Inst Technol, Sch Adv Sci, Vellore 632014, India

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

[4] Zagazig Univ, Fac Sci, Dept Math, Zagazig 44519, Egypt

来源：

AXIOMS | 2024年 / 13卷 / 11期

关键词：

bi-univalent; analytic; bi-convex; bi-starlike; coefficients bounds; COEFFICIENT; SUBCLASSES;

D O I：

10.3390/axioms13110747

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For functions of the form phi(xi)=xi+& sum;(n=2)infinity c(n)xi(n), we identified two new subclasses of bi-starlike functions and bi-convex functions by using Mathieu-type series defined in the disc Delta={xi is an element of C:|xi|<1}. We derived constraints for |c2| and |c3|, and the subclasses are connected to the shell-shaped area. The Fekete-Szeg & ouml; functional properties for the aforementioned function subclasses were also investigated. Additionally, a number of related corollaries are shown.

引用

页数：13

共 7 条

[1] Bi-Starlike Function of Complex Order Involving Mathieu-Type Series Associated with Telephone Numbers
Vijaya, Kaliappan
Murugusundaramoorthy, Gangadharan
SYMMETRY-BASEL, 2023, 15 (03):
[2] Bi-Starlike Function of Complex Order Involving Double Zeta Functions in Shell Shaped Region
Malathi, V.
Vijaya, K.
MATHEMATICS AND COMPUTING, ICMC 2022, 2022, 415 : 305 - 317
[3] Second Hankel determinant for Mocanu type bi-starlike functions related to shell-shaped region
Mustafa, Nizami
Murugusundaramoorthy, Gangadharan
TURKISH JOURNAL OF MATHEMATICS, 2021, 45 (03) : 1270 - 1286
[4] A Subclass of Janowski Starlike Functions Involving Mathieu-Type Series
Liu, Dong
Araci, Serkan
Khan, Bilal
SYMMETRY-BASEL, 2022, 14 (01):
[5] BI-STARLIKE FUNCTION OF COMPLEX ORDER ASSOCIATED WITH HYPERGEOMETRIC FUNCTIONS
Murugusundaramoorthy, Gangadharan
Janani, T.
MISKOLC MATHEMATICAL NOTES, 2015, 16 (01) : 305 - 319
[6] Bi-starlike function of complex order associated with double Zeta functions
Murugusundaramoorthy G.
Janani T.
Afrika Matematika, 2015, 26 (5-6) : 1025 - 1036
[7] Certain Subclasses of Bi-Starlike Function of Complex Order Defined by Erdely-Kober-Type Integral Operator
Alburaikan, Alhanouf
Murugusundaramoorthy, Gangadharan
El-Deeb, Sheza M.
AXIOMS, 2022, 11 (05)

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