Convolved Fibonacci Numbers and their applications
Taekyun Kim, Dmitry V. Dolgy, Dae san Kim, Jong-Jin Seo
TL;DR
This paper introduces a novel approach to convolved Fibonacci numbers using generating functions, providing new explicit identities and expanding understanding of their properties.
Contribution
The paper presents a new method for analyzing convolved Fibonacci numbers and derives explicit identities that were not previously known.
Findings
Derived new explicit identities for convolved Fibonacci numbers.
Introduced a generating function-based approach to study these numbers.
Enhanced understanding of the properties and applications of convolved Fibonacci numbers.
Abstract
In this paper, we present a new approach to the convolved Fibonacci numbers arising from the generating function of them and give some new and explicit identities for the convolved Fibonacci numbers.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Advanced Combinatorial Mathematics · Advanced Mathematical Identities