On the finite reciprocal sums of Fibonacci and Lucas polynomials

Utkal Keshari Dutta; Prasanta Kumar Ray; Utkal Keshari Dutta; Prasanta Kumar Ray

doi:10.3934/math.2019.6.1569

AIMS Mathematics

2019, Volume 4, Issue 6: 1569-1581. doi: 10.3934/math.2019.6.1569

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Research article

On the finite reciprocal sums of Fibonacci and Lucas polynomials

Utkal Keshari Dutta ,
Prasanta Kumar Ray ^,

Department of Mathematics, Sambalpur University, Jyoti Vihar, Burla-768019, India

Received: 31 July 2019 Accepted: 23 September 2019 Published: 09 October 2019
MSC : 11B37, 11B39

In this note, we consider the finite reciprocal sums of Fibonacci and Lucas polynomials and derive some identities involving these sums.
- Fibonacci polynomials,
- Lucas polynomials,
- inequality,
- reciprocal,
- floor function
Citation: Utkal Keshari Dutta, Prasanta Kumar Ray. On the finite reciprocal sums of Fibonacci and Lucas polynomials[J]. AIMS Mathematics, 2019, 4(6): 1569-1581. doi: 10.3934/math.2019.6.1569

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Abstract

In this note, we consider the finite reciprocal sums of Fibonacci and Lucas polynomials and derive some identities involving these sums.

References

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