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Bernoulli-Padovan polynomials and Pado-Bernoulli matrices |
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| รหัสดีโอไอ | |
| Creator | Hamza Menken |
| Title | Bernoulli-Padovan polynomials and Pado-Bernoulli matrices |
| Contributor | Orhan Diskaya |
| Publisher | Maejo University |
| Publication Year | 2566 |
| Journal Title | Maejo International Journal of Science and Technology |
| Journal Vol. | 17 |
| Journal No. | 1 |
| Page no. | 55 |
| Keyword | Padovan polynomials, Bernoulli numbers, Pascal matrices, exponential generating function |
| Website title | Maejo International Journal of Science and Technology |
| ISSN | 1905-7873 |
| Abstract | In the present work we introduce Bernoulli-Padovan numbers and polynomials. We give their generating functions of the Bernoulli-Padovan numbers and polynomials. We establish various relations involving the Bernoulli-Padovan numbers and polynomials by considering the Pado-derivative. We describe Pado-Bernoulli matrices in terms of the Bernoulli-Padovan numbers and polynomials. We establish a factorisation of the Pado-Bernoulli matrix by using a generalised Pado-Pascal matrix, and obtain the inverse of the Pado-Bernoulli matrix. Also, we give a relationship between the Pado-Bernoulli matrix and the Pado-Pascal matrix. |
