| 关于Weber变换的推广 |
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| 引用本文： | 张新红,同登科.关于Weber变换的推广[J].数学物理学报(A辑),2010,30(2):509-516. |
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| 作者姓名： | 张新红 同登科 |
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| 作者单位： | 中国石油大学(华东)数学与计算科学学院,山东东营,257061 |
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| 基金项目： | 国家自然科学基金，山东省自然科学基金 |
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| 摘 要： | 该文介绍两种不同类型的推广的Weber变换,给出了第二种变换的逆变换公式,并且阐述了它们之间的联系.作为推广的Weber变换的应用,求解了无限大分形油藏中心一口井以定产量生产时的渗流问题.
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| 关 键 词： | Bessel函数 积分变换 Weber变换 逆变换公式 |
| 收稿时间： | 2008-03-26 |
| 修稿时间： | 2009-05-20 |
On the Generalized Weber Transforms |
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| ZHANG Xin-Hong,TONG De-Ke.On the Generalized Weber Transforms[J].Acta Mathematica Scientia,2010,30(2):509-516. |
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| Authors: | ZHANG Xin-Hong TONG De-Ke |
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| Institution: | School of Mathematics and Computational Science, China University of Petroleum, Shandong Dongying 257061 |
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| Abstract: | In this paper,two different types of generalized Weber transform are introduced and the inversion formula of the second form is established.The relationships between them are stated.A well with constant output production in an infinite fractal reservoir of fluid mechanics in porous medium is considered as an application of the generalized Weber transform. |
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| Keywords: | Bessel functions Integral transforms Weber transform Inverse formula |
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