Coefficient estimates for Bi-univalent functions with respect to symmetric conjugate points associated with Horadam Polynomials

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DOI:

https://doi.org/10.26637/MJM0802/0042

Abstract

In this investigation, we propose to make use of the Horadam polynomials, we introduce a class of bi-univalent functions with respect to symmetric conjugate points. For functions belonging to this class, the coefficient bounds and the Fekete-Szeg¨o bounds are discussed. Some interesting remarks of the results presented here are also investigated.

Keywords:

Analytic functions, bi-univalent functions, Horadam polynomial, Fekete-Szeg¨o inequality

Mathematics Subject Classification:

Mathematics
  • Jayaraman Sivapalan Department of Mathematics, Govt Arts and Science College, Hosur-635109, Tamil
  • Nanjundan Magesh Post-Graduate and Research Department of Mathematics, Government Arts College for Men, Krishnagiri-635001, Tamil Nadu, India. https://orcid.org/0000-0002-0764-8390
  • Samy Murthy Post-Graduate and Research Department of Mathematics, Government Arts College for Men, Krishnagiri-635001, Tamil Nadu, India.
  • Pages: 565-569
  • Date Published: 01-04-2020
  • Vol. 8 No. 02 (2020): Malaya Journal of Matematik (MJM)

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Published

01-04-2020

How to Cite

Jayaraman Sivapalan, Nanjundan Magesh, and Samy Murthy. “Coefficient Estimates for Bi-Univalent Functions With Respect to Symmetric Conjugate Points Associated With Horadam Polynomials”. Malaya Journal of Matematik, vol. 8, no. 02, Apr. 2020, pp. 565-9, doi:10.26637/MJM0802/0042.