On Initial Chebyshev Polynomial Coefficient Problem for Certain Subclass of Bi-Univalent Functions

Authors

  • F. Müge Sakar Department of Business Administration, Faculty of Management and Economics, Dicle University, Diyarbakır
  • Ertuğrul Doğan Master's Degree in Mathematics, Institue of Science, Batman University, Batman

DOI:

https://doi.org/10.26713/cma.v11i1.1331

Keywords:

Initial coefficients problem, Bi-univalent function, Chebyshev polinomials, Fekete-Szegö problem

Abstract

In this paper, we firstly, introduced the subclass RΣ(τ,α,γ;t) satisfying subordinate  conditions. Subsequently, considering this defined subclass, initial coefficient estimations are established using by Chebyshev polynomials expansions, and Fekete-Szegö inequalities are also derived for functions belonging to the said subclass. Furthermore, Some relevant consequences of these results are also discussed.

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References

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Published

31-03-2020
CITATION

How to Cite

Sakar, F. M., & Doğan, E. (2020). On Initial Chebyshev Polynomial Coefficient Problem for Certain Subclass of Bi-Univalent Functions. Communications in Mathematics and Applications, 11(1), 57–64. https://doi.org/10.26713/cma.v11i1.1331

Issue

Vol. 11 No. 1 (2020)

Section

Research Article

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