Some new families of generalized $k$-Leonardo and Gaussian Leonardo Numbers

Document Type : Original paper

Authors

Department of Mathematics, Central University of Jharkhand, India, 835205

Abstract

In this paper, we introduce a new family of the generalized $k$-Leonardo numbers and study their properties. We investigate the Gaussian Leonardo numbers and associated new families of these Gaussian forms. We obtain combinatorial identities like Binet formula, Cassini's identity, partial sum, etc. in the closed form. Moreover, we give various generating and exponential generating functions.

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References

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Communications in Combinatorics and Optimization
Volume 9, Issue 3
September 2024
Pages 539-553

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