Sums of Pell/Lucas Polynomials and Fibonacci/Lucas Numbers

Dongwei Guo and Wenchang Chu
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Dongwei Guo: School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China
Wenchang Chu: School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China

Mathematics, 2022, vol. 10, issue 15, 1-10

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.

Keywords: Gaussian hypergeometric function; arcsin-function; central binomial coefficient; Pell/Lucas polynomial; Fibonacci/Lucas numbers (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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