Brousseau’s Reciprocal Sums Involving Balancing and Lucas-Balancing Numbers

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Authors

  • S. G. Rayaguru
     Department of Center for Data Science, Siksha ’O’ Anusandhan Deemed to be University, Bhubaneswar - 751 030 ,IN
  • G. K. Panda
     Department of Mathematics, National Institute of Technology, Rourkela - 769 008 ,IN

DOI:

https://doi.org/10.18311/jims/2022/22177

Keywords:

Balancing numbers, Lucas-balancing numbers, gap balancing numbers, t-balancing numbers
11B39

Abstract

In this paper, we derive the closed form expressions for the finite and infinite sums with summands having products of balancing and Lucas-balancing numbers in the denominator. We present some generalized Brousseau’s sums for balancing and Lucas-balancing numbers.

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Published

2022-01-27

How to Cite

Rayaguru, S. G., & Panda, G. K. (2022). Brousseau’s Reciprocal Sums Involving Balancing and Lucas-Balancing Numbers. The Journal of the Indian Mathematical Society, 89(1-2), 145–166. https://doi.org/10.18311/jims/2022/22177

Issue

Volume 89, Issue 1-2, January-June 2022

Section

Articles

License

Copyright (c) 2022 S. G. Rayaguru, G. K. Panda

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2018-09-07
Accepted 2021-09-13
Published 2022-01-27

 

References

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