تقرير
Differential-Difference Properties of Hypergeometric Series
| العنوان: | Differential-Difference Properties of Hypergeometric Series |
|---|---|
| المؤلفون: | Brisebarre, Nicolas, Salvy, Bruno |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Classical Analysis and ODEs |
| الوصف: | Six families of generalized hypergeometric series in a variable $x$ and an arbitrary number of parameters are considered. Each of them is indexed by an integer $n$. Linear recurrence relations in $n$ relate these functions and their product by the variable $x$. We give explicit factorizations of these equations as products of first order recurrence operators. Related recurrences are also derived for the derivative with respect to $x$. These formulas generalize well-known properties of the classical orthogonal polynomials. Comment: 14 pages. Revised version to appear in Proc. AMS |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2207.00393 |
| رقم الأكسشن: | edsarx.2207.00393 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |