On the Laplace-type transform and its applications
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909385218850816 |
|---|---|
| author | Tričković, Slobodan B. Stanković, Miomir S. |
| author_facet | Tričković, Slobodan B. Stanković, Miomir S. |
| contents | We use the Laplace transform and the Gamma function to introduce a new integral transform and name it the Laplace-type transform possessing the property of mapping a function to a functional sequence, which cannot be achieved by the Laplace transform. In addition, we construct a backward difference as a generalization of the backward difference operator $\nabla$, and connecting it to the Laplace-type transform, we deduce a method for solving difference equations and, relying on classical orthogonal polynomials, for obtaining combinatorial identities. A table of some elementary functions and their images is in the Appendix. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_13812 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Laplace-type transform and its applications Tričković, Slobodan B. Stanković, Miomir S. Classical Analysis and ODEs We use the Laplace transform and the Gamma function to introduce a new integral transform and name it the Laplace-type transform possessing the property of mapping a function to a functional sequence, which cannot be achieved by the Laplace transform. In addition, we construct a backward difference as a generalization of the backward difference operator $\nabla$, and connecting it to the Laplace-type transform, we deduce a method for solving difference equations and, relying on classical orthogonal polynomials, for obtaining combinatorial identities. A table of some elementary functions and their images is in the Appendix. |
| title | On the Laplace-type transform and its applications |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2407.13812 |