Sums of Pell/Lucas Polynomials and Fibonacci/Lucas Numbers

Author:

Guo DongweiORCID,Chu WenchangORCID

Abstract

Seven infinite series involving two free variables and central binomial coefficients (in denominators) are explicitly evaluated in closed form. Several identities regarding Pell/Lucas polynomials and Fibonacci/Lucas numbers are presented as consequences.

Publisher

MDPI AG

Subject

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

Reference25 articles.

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

2. Pell and Pell–Lucas Numbers with Applications;Koshy,2014

3. Fibonacci and Catalan Numbers;Grimaldi,2012

4. On a Family of Infinite Series with Reciprocal Catalan Numbers

5. The sums of the reciprocals of Fibonacci polynomials and Lucas polynomials

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