On the Reciprocal Sums of Products of Balancing and Lucas-Balancing Numbers
Author:
Open Access
- 10 February 2021
- journal article
- research article
- Published by MDPI AG in Mathematics
- Vol. 9 (4) , 350
Abstract
Recently Panda et al. obtained some identities for the reciprocal sums of balancing and Lucas-balancing numbers. In this paper, we derive general identities related to reciprocal sums of products of two balancing numbers, products of two Lucas-balancing numbers and products of balancing and Lucas-balancing numbers. The method of this paper can also be applied to even-indexed and odd-indexed Fibonacci, Lucas, Pell and Pell–Lucas numbers.Keywords
This publication has 15 references indexed in Scilit:
- On the reciprocal sums of products of two generalized Fibonacci numbersInternational Journal of Mathematical Analysis, 2019
- On the reciprocal sums of products of Fibonacci and Lucas numbersFilomat, 2018
- Some results on the infinite sums of reciprocal generalized Fibonacci numbersInternational Journal of Mathematical Analysis, 2018
- On the reciprocal sums of square of generalized bi-periodic Fibonacci numbersMiskolc Mathematical Notes, 2018
- Sums of products of two reciprocal Fibonacci numbersAdvances in Difference Equations, 2016
- On the sum of reciprocal of generalized bi-periodic Fibonacci numbersMiskolc Mathematical Notes, 2016
- The reciprocal sums of even and odd terms in the Fibonacci sequenceJournal of Inequalities and Applications, 2015
- On the Generalizations of Fibonacci IdentitiesResults in Mathematics, 2015
- On the partial finite sums of the reciprocals of the Fibonacci numbersJournal of Inequalities and Applications, 2015
- On the Sum of Reciprocal Generalized Fibonacci NumbersIntegers, 2011