The sums of the reciprocals of Fibonacci polynomials and Lucas polynomials-Reference-Cited by-同舟云学术

The sums of the reciprocals of Fibonacci polynomials and Lucas polynomials

Published:2012-06-11 Issue:1 Volume:2012 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Wu Zhengang,Zhang Wenpeng

Abstract

Abstract In this article, we consider infinite sums derived from the reciprocals of the Fibonacci polynomials and Lucas polynomials, and infinite sums derived from the reciprocals of the square of the Fibonacci polynomials and Lucas polynomials. Then applying the floor function to these sums, we obtain several new equalities involving the Fibonacci polynomials and Lucas polynomials. Mathematics Subject Classification (2010): Primary, 11B39.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Link

https://link.springer.com/content/pdf/10.1186/1029-242X-2012-134.pdf

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