An extension of basic Humbert hypergeometric functions Φ1, Φ2 and Φ3
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2021
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909484170870784 |
|---|---|
| author | Shehata, Ayman |
| author_facet | Shehata, Ayman |
| contents | Given the growing quantity of proposals and works of basic hypergeometric functions in the scope of $q$-calculus, it is important to introduce a systematic classification of $q$-calculus. Our aim in this article is to investigate certain interesting several $q$-partial derivative formulas, $q$-contiguous function relations, $q$-recurrence relations, various $q$-partial differential equations, summation formulas, transformation formulas and $q$-integrals representations for basic Humbert confluent hypergeometric functions under what constraints of parameters. These interesting properties, as special cases, include many known expansions of basic Humbert hypergeometric functions, and are also include particular interest in the area. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_08407 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | An extension of basic Humbert hypergeometric functions Φ1, Φ2 and Φ3 Shehata, Ayman Classical Analysis and ODEs Given the growing quantity of proposals and works of basic hypergeometric functions in the scope of $q$-calculus, it is important to introduce a systematic classification of $q$-calculus. Our aim in this article is to investigate certain interesting several $q$-partial derivative formulas, $q$-contiguous function relations, $q$-recurrence relations, various $q$-partial differential equations, summation formulas, transformation formulas and $q$-integrals representations for basic Humbert confluent hypergeometric functions under what constraints of parameters. These interesting properties, as special cases, include many known expansions of basic Humbert hypergeometric functions, and are also include particular interest in the area. |
| title | An extension of basic Humbert hypergeometric functions Φ1, Φ2 and Φ3 |
| topic | Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2104.08407 |