تقرير
Ramanujan's $q$-continued fractions
| العنوان: | Ramanujan's $q$-continued fractions |
|---|---|
| المؤلفون: | Bhatnagar, Gaurav |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Classical Analysis and ODEs, Mathematics - Number Theory |
| الوصف: | Ramanujan's $q$-continued fractions are a central part of Ramanujan's development of basic hypergeometric series. They appear in Chapter 16 of Part III and Chapter 32 of Part V of {\em Ramanujan's Notebooks} edited by Berndt, and in Volume I of Andrews and Berndt's {\em Ramanujan's Lost Notebook}. In these references the continued fractions as presented in the order in which they appear in Ramanujan's original notebooks. We summarize the work of several authors on this topic and re-organize Ramanujan's $q$-continued fractions. Comment: 15 pages. Feedback is invited |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2208.12656 |
| رقم الأكسشن: | edsarx.2208.12656 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |