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Proyecciones (Antofagasta)

versión impresa ISSN 0716-0917

Proyecciones (Antofagasta) vol.38 no.5 Antofagasta dic. 2019

http://dx.doi.org/10.22199/issn.0717-6279-2019-05-0071 

Artículos

(p, q)-Lucas polynomials and their applications to bi-univalent functions

1Bursa Uludağ University, Dept. of Mathematics, Bursa, Turkey. E-mail: sahsenealtinkaya@gmail.com

2Bursa Uludağ University, Dept. of Mathematics, Bursa, Turkey. E-mail:syalcin@uludag.edu.tr

Abstract

In the present paper, by using the L p,q,n (x) functions, our methodology intertwine to yield the Theory of Geometric Functions and that of Special Functions, which are usually considered as very different fields. Thus, we aim at introducing a new class of bi-univalent functions defined through the (p, q)-Lucas polynomials. Furthermore, we derive coefficient inequalities and obtain Fekete-Szegö problem for this new function class.

Keywords: (p, q)-Lucas polynomials; Coefficient bounds; Bi-univalent functions

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References

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Received: November 30, 2018; Accepted: October 30, 2019

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