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Trailokya Panigrahi
Institute of Mathematics and Applications, Andharua, Bhubaneswar-751029, Odisha, India.
Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics

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Coefficient Estimates for Bi-univalent Functions Defined by (P, Q) Analogue of the Salagean Differential Operator Related to the Chebyshev Polynomials Trailokya Panigrahi; Susanta Kumar Mohapatra
Journal of Mathematical and Fundamental Sciences Vol. 53 No. 1 (2021)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2021.53.1.4

Abstract

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.
Co-Authors Susanta Kumar Mohapatra