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, cilt.13, sa.2, ss.2197-2204, 2022 (ESCI)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 13 Sayı: 2
Basım Tarihi: 2022
Doi Numarası: 10.22075/ijnaa.2022.25973.3206
Dergi Adı: International Journal of Nonlinear Analysis and Applications
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), MathSciNet, zbMATH
Sayfa Sayıları: ss.2197-2204
Anahtar Kelimeler: Analytic function, Bi-Univalent function, (p-q)- Derivative operator, Sakaguchi type function, Gegenbauer polynomials, BI-UNIVALENT FUNCTIONS, COEFFICIENT, SUBCLASS
Bursa Uludağ Üniversitesi Adresli: Evet

Özet

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.