تقرير
Chebyshev polynomials, their remarkable properties and connection with Catalan numbers
| العنوان: | Chebyshev polynomials, their remarkable properties and connection with Catalan numbers |
|---|---|
| المؤلفون: | Ryabichev, Andrey, Shcherbakov, Konstantin |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Combinatorics |
| الوصف: | The main result of the article says that the formal power series equal to the ratio of two neighboring Chebyshev polynomials, after some renormalization, approximates the generating function of the Catalan numbers. We present a proof of this result using continued fractions. Also, for completeness of the presentation, we recall the basic properties of Chebyshev polynomials and formal power series that we use. Comment: 8 pages, in Russian. Comments are welcome! |
| نوع الوثيقة: | Working Paper |
| اللغة: | Russian |
| الوصول الحر: | http://arxiv.org/abs/2403.04862Test |
| رقم الانضمام: | edsarx.2403.04862 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |