Title of article
Some new families of generalized $k$-Leonardo and Gaussian Leonardo Numbers
Author/Authors
Prasad ، Kalika Department of Mathematics - Central University of Jharkhand , Mohanty ، Ritanjali Department of Mathematics - Central University of Jharkhand , Kumari ، Munesh Department of Mathematics - Central University of Jharkhand , Mahato ، Hrishikesh Department of Mathematics - Central University of Jharkhand
From page
539
To page
553
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.
Keywords
k , Leonardo numbers , k , Gaussian Leonardo numbers , Binet formula , Generating functions , Partial sum
Journal title
Communications in Combinatorics and Optimization
Journal title
Communications in Combinatorics and Optimization
Record number
2762234
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