Finite and infinite order differential properties of the reduced Mittag--Leffler polynomials
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866911775570526208 |
|---|---|
| author | Rajković, Predrag M. Marinković, Sladjana D. Stanković, Miomir S. Petković, Marko D. |
| author_facet | Rajković, Predrag M. Marinković, Sladjana D. Stanković, Miomir S. Petković, Marko D. |
| contents | This paper deals with the Mittag-Leffler polynomials (MLP) by extracting their essence which consists of real polynomials with fine properties. They are orthogonal on the real line instead of the imaginary axes for MLP. Beside recurrence relations and zeros, we will point to the closed form of its Fourier transform. The most important contribution consists of the new differential properties, especially the finite and infinite differential equation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_07795 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Finite and infinite order differential properties of the reduced Mittag--Leffler polynomials Rajković, Predrag M. Marinković, Sladjana D. Stanković, Miomir S. Petković, Marko D. Classical Analysis and ODEs Numerical Analysis This paper deals with the Mittag-Leffler polynomials (MLP) by extracting their essence which consists of real polynomials with fine properties. They are orthogonal on the real line instead of the imaginary axes for MLP. Beside recurrence relations and zeros, we will point to the closed form of its Fourier transform. The most important contribution consists of the new differential properties, especially the finite and infinite differential equation. |
| title | Finite and infinite order differential properties of the reduced Mittag--Leffler polynomials |
| topic | Classical Analysis and ODEs Numerical Analysis |
| url | https://arxiv.org/abs/2402.07795 |