کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8959555 | 1646324 | 2018 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Bounds for modified Struve functions of the first kind and their ratios
ترجمه فارسی عنوان
محدودیت ها برای توابع اصلاح شده استروو در نوع اول و نسبت آنها
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
چکیده انگلیسی
We obtain a simple two-sided inequality for the ratio Lν(x)/Lνâ1(x) in terms of the ratio Iν(x)/Iνâ1(x), where Lν(x) is the modified Struve function of the first kind and Iν(x) is the modified Bessel function of the first kind. This result allows one to use the extensive literature on bounds for Iν(x)/Iνâ1(x) to immediately deduce bounds for Lν(x)/Lνâ1(x). We note some consequences and obtain further bounds for Lν(x)/Lνâ1(x) by adapting techniques used to bound the ratio Iν(x)/Iνâ1(x). We apply these results to obtain new bounds for the condition numbers xLνâ²(x)/Lν(x), the ratio Lν(x)/Lν(y) and the modified Struve function Lν(x) itself. Amongst other results, we obtain two-sided inequalities for xLνâ²(x)/Lν(x) and Lν(x)/Lν(y) that are given in terms of xIνâ²(x)/Iν(x) and Iν(x)/Iν(y), respectively, which again allows one to exploit the substantial literature on bounds for these quantities. The results obtained in this paper complement and improve existing bounds in the literature.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 468, Issue 1, 1 December 2018, Pages 547-566
Journal: Journal of Mathematical Analysis and Applications - Volume 468, Issue 1, 1 December 2018, Pages 547-566
نویسندگان
Robert E. Gaunt,