Applications of the Second Kind Chebyshev Polynomials of Bi-Starlike and Bi-Convex λ-Pseudo Functions Associated with Sakaguchi Type Functions

  • Abbas Kareem Wanas Department of Mathematics, College of Science, University of Al-Qadisiyah, Diwaniyah, Iraq
  • S. R. Swamy Department of Information and Engineering, Acharya Institute of Technology, Bengaluru-560 107, Karnataka, India
Keywords: bi-univalent function, λ-pseudo functions, coefficient estimates, Chebyshev polynomials, subordination

Abstract

The purpose of this paper is to use the second kind Chebyshev polynomials to introduce a new class of analytic and bi-univalent functions associating bi-starlike and biconvex $\lambda$-pseudo functions with Sakaguchi type functions defined in the open unit disk. We determinate upper bounds for the initial Taylor-Maclaurin coefficients $\left|a_{2}\right|$ and $\left|a_{3}\right|$ for functions in this class.

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Published
2023-09-05
How to Cite
Wanas, A. K., & Swamy, S. R. (2023). Applications of the Second Kind Chebyshev Polynomials of Bi-Starlike and Bi-Convex λ-Pseudo Functions Associated with Sakaguchi Type Functions. Earthline Journal of Mathematical Sciences, 13(2), 497-507. https://doi.org/10.34198/ejms.13223.497507
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Articles