Faber Polynomial Coefficient Estimates for Analytic Bi-Close-to-Convex Functions Defined by Subordination
Abstract
In this work, the Faber polynomial expansions and a different method were employed to estimate the coefficients of a subclass of bi-close-to-convex functions, which is introduced by subordination concept in the open unit disk. Further, we generalize some of the previous outcomes.
Keywords
References
- Reference1 H. Airault and A. Bouali, Differential calculus on the Faber polynomials, Bull. Sci. Math., 130 (2006) 179-222.
- Reference2 H. Airault and J. Ren, An algebra of differential operators and generating functions on the set of univalent functions, Bull. Sci. Math., 126 (2002) 343-367.
- Reference3 H. Airault and A. Bouali, Differential calculus on the Faber polynomials, Bull. Sci. Math., 130 (2006) 179-222.
- Reference4 R. M. Ali, S. K. Lee, V. Ravichandran and S. Subramaniam, Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions, Appl. Math. Lett., 25 (2012) 344-351.
- Reference5 S. Bulut, Faber polynomial coefficient estimates for a comprehensive subclass of analytic bi-univalent functions, C. R. Acad. Sci. Paris, 352 (2014) 479-484.
- Reference6 P. L. Duren, Univalent Functions, Springer-Verlag, New York, Berlin, 1983.
- Reference7 G. Faber, Uber polynomische Entwickelungen, Math. Ann., 57 (1903) 389-408.
- Reference8 B. A. Frasin and M. K. Aouf, New subclasses of bi-univalent functions, Appl. Math. Lett., 24 (2011) 1569-1573.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Authors
Ebrahim Analouei Adegani
*
Shahrood University of Technology
Iran
Ahmad Zıreh
This is me
Mostafa Jafarı
This is me
Publication Date
June 1, 2019
Submission Date
December 24, 2017
Acceptance Date
January 7, 2019
Published in Issue
Year 2019 Volume: 32 Number: 2