Sakaguchi type function defined by (p,q)-Derivative operator using Gegenbauer polynomials

Baskaran, S.; Saravanan, Gunasekar; Yalçın Tokgöz, SİBEL; Vanithakumari, Balasubramaniam

doi:10.22075/ijnaa.2022.25973.3206

Sakaguchi type function defined by (p,q)-Derivative operator using Gegenbauer polynomials

Baskaran S., Saravanan G., Yalçın Tokgöz S., Vanithakumari B.

International Journal of Nonlinear Analysis and Applications, vol.13, no.2, pp.2197-2204, 2022 (ESCI)

Publication Type: Article / Article
Volume: 13 Issue: 2
Publication Date: 2022
Doi Number: 10.22075/ijnaa.2022.25973.3206
Journal Name: International Journal of Nonlinear Analysis and Applications
Journal Indexes: Emerging Sources Citation Index (ESCI), MathSciNet, zbMATH
Page Numbers: pp.2197-2204
Keywords: Analytic function, Bi-Univalent function, (p-q)- Derivative operator, Sakaguchi type function, Gegenbauer polynomials, BI-UNIVALENT FUNCTIONS, COEFFICIENT, SUBCLASS
Bursa Uludag University Affiliated: Yes

Abstract

An introduction of a new subclass of bi-univalent functions involving Sakaguchi type functions defined by (p, q)-Derivative operators using Gegenbauer polynomials have been obtained. Further, the bounds for initial coefficients vertical bar a(2)vertical bar, vertical bar a(3)vertical bar and Fekete Szego inequality have been estimated.