General convolution sums involving Fibonacci m-step numbers
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913289403891712 |
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| author | Frontczak, Robert Gryszka, Karol |
| author_facet | Frontczak, Robert Gryszka, Karol |
| contents | In this paper, using a generating function approach, we derive several new convolution sum identities involving Fibonacci m-step numbers. As special instances of the results derived herein, we will get many new and known results involving Fibonacci, Tribonacci, Tetranacci and Pentanacci numbers. In addition, we establish some general results providing insights into the inner structure of such convolutions. Finally, some mixed convolutions involving Fibonacci m-step numbers and Jacobsthal and Pell numbers will be stated. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_19701 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | General convolution sums involving Fibonacci m-step numbers Frontczak, Robert Gryszka, Karol General Mathematics 05A15, 11B37, 11B39 In this paper, using a generating function approach, we derive several new convolution sum identities involving Fibonacci m-step numbers. As special instances of the results derived herein, we will get many new and known results involving Fibonacci, Tribonacci, Tetranacci and Pentanacci numbers. In addition, we establish some general results providing insights into the inner structure of such convolutions. Finally, some mixed convolutions involving Fibonacci m-step numbers and Jacobsthal and Pell numbers will be stated. |
| title | General convolution sums involving Fibonacci m-step numbers |
| topic | General Mathematics 05A15, 11B37, 11B39 |
| url | https://arxiv.org/abs/2403.19701 |