Reciprocal Formulae among Pell and Lucas Polynomials

Reciprocal Formulae among Pell and Lucas Polynomials

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.

Bibliographic Details
Main Authors: Mei Bai, Wenchang Chu, Dongwei Guo
Format: Article
Language:English
Published: MDPI AG 2022-07-01
Series:Mathematics
Subjects:
generating function
Lambert series
bisection series
reciprocal relation
binomial coefficient
Fibonacci and Lucas numbers
Online Access:https://www.mdpi.com/2227-7390/10/15/2691

Internet

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

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