Reciprocal Formulae among Pell and Lucas Polynomials-Reference-Cited by-同舟云学术

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Reciprocal Formulae among Pell and Lucas Polynomials

Published:2022-07-29 Issue:15 Volume:10 Page:2691
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Bai Mei^ORCID,Chu Wenchang^ORCID,Guo Dongwei^ORCID

Abstract

Motivated by a problem proposed by Seiffert a quarter of century ago, we explicitly evaluate binomial sums with Pell and Lucas polynomials as weight functions. Their special cases result in several interesting identities concerning Fibonacci and Lucas numbers.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/10/15/2691/pdf

Reference20 articles.

1. Pell and Pell–Lucas polynomials;Horadam;Fibonacci Quart.,1985

2. Power sums of Fibonacci and Lucas numbers

3. Power sums of Pell and Pell–Lucas polynomials;Chu;Fibonacci Quart.,2011

4. Fibonacci and Catalan Numbers;Grimaldi,2012

5. Fibonacci and Lucas Numbers with Applications;Koshy,2001

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Fibonacci Sums Modulo 5;Annales Mathematicae Silesianae;2024-06-07

2. Binomial Sum Relations Involving Fibonacci and Lucas Numbers;AppliedMath;2023-11-30

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