Abstract
In this paper, we introduce two new subclasses of bi-univalent functions using the q-Hermite polynomials. Furthermore, we establish the bounds of the initial coefficients υ2, υ3, and υ4 of the Taylor–Maclaurin series and that of the Fekete–Szegö functional associated with the new classes, and we give the many consequences of our findings.
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
Reference32 articles.
1. On a coefficient problem for bi-univalent functions;Lewin;Proc. Am. Math. Soc.,1967
2. Brannan, D.A., and Clunie, J.G. (1979, January 1–20). Aspect of Contemporary Complex Analysis. Proceedings of the NATO Advanced Study Institute Held at the University of Durham, Durham, UK.
3. The minimal distance of the image boundary from the origin and the second coefficient of a univalent function in |z|<1;Netanyahu;Arch. Ration. Mech. Anal.,1969
4. On some classes of bi-univalent functions;Brannan;Babes-Bolyai Math.,1986
5. Certain subclasses of analytic and bi-univalent functions;Srivastava;Appl. Math. Lett.,2010
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