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arXiv · 2406.02937

Identities and Generating Functions of Products of Generalized Fibonacci numbers, Catalan and Harmonic Numbers

Vladimir V. Kruchinin·Maria Y. Perminova
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Abstract

We considered the properties of generalized Fibonacci and Lucas numbers class. The analogues of well-known Fibonacci identities for generalized numbers are obtained. We gained a new identity of product convolution of generalized Fibonacci and Lucas numbers. We wrote down generating functions of generalized Fibonacci and Lucas numbers products, their multisections, harmonic numbers and Catalan numbers.

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Vladimir V. Kruchinin, Maria Y. Perminova. 2024-06-05. Identities and Generating Functions of Products of Generalized Fibonacci numbers, Catalan and Harmonic Numbers. https://arxiv.org/abs/2406.02937

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