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Peer-reviewedCC BY 4.0Axioms

Infinite Series About Reciprocal Products of Fibonacci and Lucas Numbers

  • Marta Na Chen1
  • Wenchang Chu2
  1. 1School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China
  2. 2Independent Researcher, Via Dalmazio Birago 9/E, 73100 Lecce, Italy
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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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Cite

BibTeXRIS
BibTeX
@article{chen2026infinite,
  title = {{Infinite Series About Reciprocal Products of Fibonacci and Lucas Numbers}},
  author = {Marta Na Chen and Wenchang Chu},
  journal = {Axioms},
  year = {2026},
  month = oct,
  doi = {10.3390/axioms15100753},
  url = {https://www.mdpi.com/2075-1680/15/10/753},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Infinite Series About Reciprocal Products of Fibonacci and Lucas Numbers
AU  - Marta Na Chen
AU  - Wenchang Chu
PY  - 2026
DA  - 2026/10/10
JO  - Axioms
DO  - 10.3390/axioms15100753
UR  - https://www.mdpi.com/2075-1680/15/10/753
AB  - 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.
SN  - 2075-1680
ER  -