Certain subclass of bi-univalent functions associated with the Chebyshev polynomials based on q-derivative and symmetric q-derivative

Authors

  • N. Magesh Government Arts College for Men, Krishnagiri 635001, Tamilnadu, India
  • A. Motamednezhad Shahrood University of Technology, Shahrood, Iran
  • S. Salehian Islamic Azad University, Gorgan, Iran

DOI:

https://doi.org/10.31926/but.mif.2020.13.62.2.18

Keywords:

Bi-univalent functions, Chebyshev polynomials, q-derivative, Symmetric q-derivative

Abstract

In this paper, we introduce a new subclass B̃qσB(λ; t) of bi-univalent functions by applying the Chebyshev polynomials. In the following, we obtain bounds for the initial coefficients and the Fekete-Szegöo inequalities for functions in this subclass. The results presented in this paper generalize the recent work of Altinkaya and Yalçin.

Author Biographies

N. Magesh, Government Arts College for Men, Krishnagiri 635001, Tamilnadu, India

Post-Graduate and Research Department of Mathematics

A. Motamednezhad, Shahrood University of Technology, Shahrood, Iran

Faculty of Mathematical Sciences, P.O.Box 316-36155

S. Salehian, Islamic Azad University, Gorgan, Iran

Department of Mathematics, Gorgan Branch

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Published

2021-01-22

Issue

Section

MATHEMATICS