Incomplete generalized Vieta–Pell and Vieta–Pell–Lucas polynomials

Bahar Kuloğlu, Engin Özkan and Anthony G. Shannon
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 27, 2021, Number 4, Pages 245–256
DOI: 10.7546/nntdm.2021.27.4.245-256
Full paper (PDF, 149 Kb)

Details

Authors and affiliations

Bahar Kuloğlu
Graduate School of Natural and Applied Sciences
Erzincan Binali Yıldırım University, Erzincan, Turkey

Engin Özkan
Department of Mathematics, Faculty of Arts and Sciences
Erzincan Binali Yıldırım University, Erzincan, Turkey

Anthony G. Shannon
Warrane College, The University of New South Wales
Kensington 2033, Australia

Abstract

In this paper, we introduce the incomplete Vieta–Pell and Vieta–Pell–Lucas polynomials. We give some properties, the recurrence relations and the generating function of these polynomials with suggestions for further research.

Keywords

• Binet’s formula
• Generating function
• Incomplete generalized Vieta–Pell polynomials
• Incomplete generalized Vieta–Pell–Lucas polynomials

2020 Mathematics Subject Classification

• 11B39
• 11B83

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