Coefficient Estimates for Bi-univalent Functions Defined by (P, Q) Analogue of the Salagean Differential Operator Related to the Chebyshev Polynomials

Trailokya Panigrahi (Institute of Mathematics and Applications, Andharua, Bhubaneswar-751029, Odisha, India.)
Susanta Kumar Mohapatra (Department of Mathematics, Kalinga Institute of Social Sciences (KISS) Deemed to be University, Bhubaneswar-751024, Odisha, India.)

Journal of Mathematical and Fundamental Sciences
Vol. 53 No. 1 (2021)

In the present investigation we use the Jackson (p,q)-differential operator to introduce the extended Salagean operator denoted by Rkp,q. Certain bi-univalent function classes based on operator Rkp,q related to the Chebyshev polynomials are introduced. First, two coefficient bounds and Fekete-Szego inequalities for the function classes are established. A number of corollaries are developed by varying parameters involved.