دورية أكاديمية
INTEGRAL REPRESENTATIONS FOR THE JACOBI–PINEIRO POLYNOMIALS AND THE FUNCTIONS OF THE SECOND KIND
| العنوان: | INTEGRAL REPRESENTATIONS FOR THE JACOBI–PINEIRO POLYNOMIALS AND THE FUNCTIONS OF THE SECOND KIND |
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| المؤلفون: | V. G. Lysov |
| المصدر: | Проблемы анализа, Vol 8(26), Iss 3, Pp 83-95 (2019) |
| بيانات النشر: | Petrozavodsk State University, 2019. |
| سنة النشر: | 2019 |
| المجموعة: | LCC:Mathematics |
| مصطلحات موضوعية: | hermite – pad´e approximants, jacobi – pi˜neiro multiple orthogonal polynomials, functions of the second kind, integral representations, generalized hypergeometric functions, Mathematics, QA1-939 |
| الوصف: | We consider the Hermite – Pad´e approximants for the Cauchy transforms of the Jacobi weights in one interval. The denominators of the approximants are known as Jacobi – Pi˜neiro polynomials. These polynomials, together with the functions of the second kind, satisfy a generalized hypergeometric differential equation. In the case of the two weights, we construct the basis of the solutions of this ODE with elements of different growth rate. We obtain the integral representations for the basis elements. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English Russian |
| تدمد: | 2306-3424 2306-3432 |
| العلاقة: | http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=6830&lang=enTest; https://doaj.org/toc/2306-3424Test; https://doaj.org/toc/2306-3432Test |
| DOI: | 10.15393/j3.art.2019.6830 |
| الوصول الحر: | https://doaj.org/article/782be43f968f4edc9b2f444810912687Test |
| رقم الانضمام: | edsdoj.782be43f968f4edc9b2f444810912687 |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 23063424 23063432 |
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| DOI: | 10.15393/j3.art.2019.6830 |