HORADAM POLYNOMIALS FOR A NEW SUBCLASS OF SAKAGUCHI-TYPE BI-UNIVALENT FUNCTIONS DEFINED BY (p, q)-DERIVATIVE OPERATOR

被引：0

作者：

Balasubramaniam, Vanithakumari ^{[1
,2
]}

Gunasekar, Saravanan ^{[2
]}

Sudharsanan, Baskaran ^{[1
]}

Yalcin, Sibel ^{[3
]}

机构：

[1] Agurchand Manmull Jain Coll, Dept Math, Chennai 600061, Tamil Nadu, India

[2] Amrita Vishwa Vidyapeetham, Amrita Sch Engn, Dept Math, Chennai 601103, Tamil Nadu, India

[3] Bursa Uludag Univ, Dept Math, TR-16059 Bursa, Turkiye

来源：

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2024年 / 39卷 / 02期

关键词：

Analytic functions; univalent functions; bi-univalent func- tions; Fekete-Szeg & ouml; problem; Sakaguchi-type functions; (p; q)-derivative operator; Horadam polynomials;

D O I：

10.4134/CKMS.c230285

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, a new subclass, SC mu ,p,q sigma (r, s; x), of Sakaguchitype analytic bi-univalent functions defined by (p, q)-derivative operator using Horadam polynomials is constructed and investigated. The initial coefficient bounds for | a 2 | and | a 3 | are obtained. Fekete-Szeg & ouml; inequalities for the class are found. Finally, we give some corollaries.

引用

页码：461 / 470

页数：10

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