Hyperbolic arctangent summations of Pell and Pell-Lucas polynomials

Author:

Guo Dongwei1,Chu Wenchang2

Affiliation:

1. School of Economics and Management, Nanjing University of Science and Technology, Nanjing (Jiangsu), China

2. Department of Mathematics and Physics, University of Salento, Lecce, Italy

Abstract

The telescopic approach is systematically employed to examine sums for products of hyperbolic arctangent functions whose arguments are Pell and Pell-Lucas polynomials. Numerous summation formulae are established in closed forms. Several identities concerning Fibonacci and Lucas numbers are deduced as particular cases.

Publisher

National Library of Serbia

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