کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9509511 | 1341400 | 2005 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On an entry of Ramanujan in his Notebooks: a nested roots expansion
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On an entry of Ramanujan in his Notebooks: a nested roots expansion On an entry of Ramanujan in his Notebooks: a nested roots expansion](/preview/png/9509511.png)
چکیده انگلیسی
In this letter, the elementary result of Ramanujan for nested roots, also called continued or infinite radicals, for a given integer N, expressed by him as a simple sum of three parts (N=x+n+a) is shown to give rise to two distinguishably different expansion formulas. One of these is due to Ramanujan and surprisingly, it is this other formula, not given by Ramanujan, which is more rapidly convergent!
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 173, Issue 2, 15 January 2005, Pages 371-378
Journal: Journal of Computational and Applied Mathematics - Volume 173, Issue 2, 15 January 2005, Pages 371-378
نویسندگان
K. Srinivasa Rao, G. Vanden Berghe,