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Mathematical Communications, Vol. 20 No. 2, 2015.

Original scientific paper

Generalized Vieta-Jacobsthal and Vieta-Jacobsthal-Lucas polynomials

Nazmiye Feyza Yalçın orcid id orcid.org/0000-0001-5705-8658 ; Department of Mathematics, Faculty of Arts and Sciences, Ha rran University, Sanliurfa, Turkey
Dursun Taşcı ; Department of Mathematics, Faculty of Science, Gazi University, Teknikokullar-Ankara, Turkey
Esra Erkuş-Duman ; Department of Mathematics, Faculty of Science, Gazi University, Teknikokullar-Ankara, Turkey

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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

Hrčak ID:

149793

URI

https://hrcak.srce.hr/149793

Publication date:

18.12.2015.

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