AI & Computingarticle2026-10-10

Infinite Series About Reciprocal Products of Fibonacci and Lucas Numbers

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Abstract

Infinite series about reciprocal products of Fibonacci and Lucas numbers are systematically examined. This is done by incorporating the telescoping method, Cassini-like identities and partial fractions, as well as the induction principle. Numerous closed formulae are presented with most of them not having appeared previously.

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Authors: Marta Na Chen, Wenchang Chu

Institutions: Zhoukou Normal University