Partial fraction expansions and zeros of Hankel transforms
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917830748798976 |
|---|---|
| author | Cho, Yong-Kum Chung, Seok-Young Park, Young Woong |
| author_facet | Cho, Yong-Kum Chung, Seok-Young Park, Young Woong |
| contents | It is proved by the method of partial fraction expansions and Sturm's oscillation theory that the zeros of certain Hankel transforms are all real and distributed regularly between consecutive zeros of Bessel functions. As an application, the sufficient or necessary conditions on parameters for which ${}_1F_2$ hypergeometric functions belong to the Laguerre-Pólya class are investigated in a constructive manner. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_04385 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Partial fraction expansions and zeros of Hankel transforms Cho, Yong-Kum Chung, Seok-Young Park, Young Woong Classical Analysis and ODEs 30D10, 33C10, 34C10, 44A15 It is proved by the method of partial fraction expansions and Sturm's oscillation theory that the zeros of certain Hankel transforms are all real and distributed regularly between consecutive zeros of Bessel functions. As an application, the sufficient or necessary conditions on parameters for which ${}_1F_2$ hypergeometric functions belong to the Laguerre-Pólya class are investigated in a constructive manner. |
| title | Partial fraction expansions and zeros of Hankel transforms |
| topic | Classical Analysis and ODEs 30D10, 33C10, 34C10, 44A15 |
| url | https://arxiv.org/abs/2311.04385 |