Generalized Vieta-Jacobsthal and Vieta-Jacobsthal-Lucas polynomials

Nazmiye Feyza Yalçın; Dursun Taşcı; Esra Erkuş-Duman

Vol. 20 No. 2 (2015)

Regular Articles

Generalized Vieta-Jacobsthal and Vieta-Jacobsthal-Lucas polynomials

Published 2015-11-05

Nazmiye Feyza Yalçın
Dursun Taşcı
Esra Erkuş-Duman

Nazmiye Feyza Yalçın
Harran University

Dursun Taşcı
Gazi University

Esra Erkuş-Duman
Gazi University

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Abstract

In this paper generalized Vieta-Jacobsthal and Vieta-Jacobsthal-Lucas polynomials are introduced. The Binet form and some of their recursive features are given. Various families of multilinear and multilateral generating functions for these polynomials are derived. Furthermore, some special cases of the results are presented in this study.

Keywords

Generalized Vieta-Jacobsthal, generalized Vieta-Jacobsthal- Lucas polynomials, Vieta polynomials, multilinear and multilateral generating functions

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Author Biography

Nazmiye Feyza Yalçın

Department of Mathematics

Dursun Taşcı

Department of Mathematics

Esra Erkuş-Duman

Department of Mathematics