Affiliation:
1. Department of Mathematics, College of Science, University of Al-Qadisiyah, Al Diwaniyah 58001, Iraq
2. Department of Management, Faculty of Economics and Administrative Sciences, Dicle University, Diyarbakir 21280, Turkey
3. Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii Street, 410087 Oradea, Romania
Abstract
In current manuscript, using Laguerre polynomials and (p−q)-Wanas operator, we identify upper bounds a2 and a3 which are first two Taylor-Maclaurin coefficients for a specific bi-univalent functions classes W∑(η,δ,λ,σ,θ,α,β,p,q;h) and K∑(ξ,ρ,σ,θ,α,β,p,q;h) which cover the convex and starlike functions. Also, we discuss Fekete-Szegö type inequality for defined class.
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
Reference48 articles.
1. Duren, P.L. (1983). Univalent Functions, Grundlehren der Mathematischen Wissenschaften, Band 259, Springer.
2. Certain subclasses of analytic and bi-univalent functions;Srivastava;Appl. Math. Lett.,2010
3. Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions;Ali;Appl. Math. Lett.,2012
4. A comprehensive class of analytic bi-univalent functions by means of Chebyshev polynomials;Bulut;J. Fract. Calc. Appl.,2017
5. Srivastava, H.M., Wanas, A.K., and Srivastava, R. (2021). Applications of the q-Srivastava-Attiya operator involving a certain family of bi-univalent functions associated with the Horadam polynomials. Symmetry, 13.