Sums of Pell/Lucas Polynomials and Fibonacci/Lucas Numbers

Sums of Pell/Lucas Polynomials and Fibonacci/Lucas Numbers

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.

Bibliographic Details
Main Authors: Dongwei Guo, Wenchang Chu
Format: Article
Language:English
Published: MDPI AG 2022-07-01
Series:Mathematics
Subjects:
Gaussian hypergeometric function
arcsin-function
central binomial coefficient
Pell/Lucas polynomial
Fibonacci/Lucas numbers
Online Access:https://www.mdpi.com/2227-7390/10/15/2667

Internet

https://www.mdpi.com/2227-7390/10/15/2667

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