Identities and Generating Functions of Products of Generalized Fibonacci numbers, Catalan and Harmonic Numbers
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916274816155648 |
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| author | Kruchinin, Vladimir V. Perminova, Maria Y. |
| author_facet | Kruchinin, Vladimir V. Perminova, Maria Y. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_02937 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Identities and Generating Functions of Products of Generalized Fibonacci numbers, Catalan and Harmonic Numbers Kruchinin, Vladimir V. Perminova, Maria Y. Combinatorics 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. |
| title | Identities and Generating Functions of Products of Generalized Fibonacci numbers, Catalan and Harmonic Numbers |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2406.02937 |