Coefficient Estimates of Certain Subclasses of Bi-Bazilevic Functions Associated with Chebyshev Polynomials and Mittag-Leffler Function
Open Access
- 27 October 2020
- journal article
- Published by Earthline Publishers in Earthline Journal of Mathematical Sciences
- Vol. 5 (2), 365-376
- https://doi.org/10.34198/ejms.5221.365376
Abstract
In this present investigation, the authors introduced certain subclasses of the function class $ T^{\alpha}_{\theta}(\lambda, \beta, t)$ of bi-Bazilevic univalent functions defined in the open unit disk $U$, which are associated with Chebyshev polynomials and Mittag-Leffler function. We establish the Taylor Maclaurin coefficients $\left|a_{2}\right|$, $\left|a_{3}\right|$ and $\left|a_{4}\right|$ for functions in the new subclass introduced and the Fekete-Szego problem is solved.
Keywords
This publication has 9 references indexed in Scilit:
- Fekete-Szegö inequality for analytic and bi-univalent functions subordinate to Chebyshev polynomialsFilomat, 2018
- On the Chebyshev polynomial coefficient problem of some subclasses of bi-univalent functionsGulf Journal of Mathematics, 2017
- Coefficient Estimates for Two New Subclasses of Biunivalent Functions with respect to Symmetric PointsJournal of Function Spaces, 2015
- Initial Coefficient Bounds for a General Class of Biunivalent FunctionsInternational Journal of Analysis, 2014
- New subclasses of bi-univalent functionsApplied Mathematics Letters, 2011
- Coefficient Estimates for a Class of Star-Like FunctionsCanadian Journal of Mathematics, 1970
- The minimal distance of the image boundary from the origin and the second coefficient of a univalent function in ¦z¦<1Archive for Rational Mechanics and Analysis, 1969
- On a coefficient problem for bi-univalent functionsProceedings of the American Mathematical Society, 1967
- Eine Bemerkung Über Ungerade Schlichte FunktionenJournal of the London Mathematical Society, 1933