Coefficient Bounds and Fekete-Szeg¨o inequality for a Certain Families of Bi-Prestarlike Functions Defined by (M,N)-Lucas Polynomials

Najah Ali  Jiben  Al-Ziadi; Abbas Kareem  Wanas

doi:10.24297/jam.v20i.8989

Authors

Najah Ali Jiben Al-Ziadi Department of Mathematics, College of Education University of Al-Qadisiyah, Al Diwaniyah, Al-Qadisiyah, Iraq
Abbas Kareem Wanas Department of Mathematics, College of Science University of Al-Qadisiyah, Al Diwaniyah, Al-Qadisiyah, Iraq

DOI:

https://doi.org/10.24297/jam.v20i.8989

Keywords:

Bi-Univalent function, Bi-Prestarlike function, Lucas Polynomials

Abstract

In the current work, we use the (M,N)-Lucas Polynomials to introduce a new families of holomorphic and bi-Prestarlike functions defined in the unit disk O and establish upper bounds for the second and third coefficients of the Taylor-Maclaurin series expansions of functions belonging to these families. Also, we debate Fekete-Szeg¨o problem for these
families. Further, we point out several certain special cases for our results.

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