A generalized Hankel transform and its use for solving certain partial differential equations

被引：16

作者：

Ali, I ^{[1
]}

Kalla, S

机构：

[1] Kuwait Univ, Dept Math & Comp Sci, Safat 13060, Kuwait

[2] Univ Zulia, Fac Ingn, CIMA, Maracaibo, Venezuela

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS | 1999年 / 41卷

关键词：

D O I：

10.1017/S0334270000011061

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a generalized form of the Hankel transform, and study some of its properties. A partial differential equation associated with the problem of transport of a heavy pollutant (dust) from the ground level sources within the framework of the diffusion theory is treated by this integral transform. The pollutant concentration is expressed in terms of a given flux of dust from the ground surface to the atmosphere. Some special cases are derived.

引用

页码：105 / 117

页数：13

共 13 条

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[6] Erdelyi A, 1953, HIGHER TRANSCENDENTA
[7] Kalla SL, 1994, P 5 INT C DIFF EQ PL, P173
[8] Lebedev N. N., 1965, SPECIAL FUNCTIONS TH
[9] Onikul R. I., 1984, Fluid Mechanics - Soviet Research, V13, P64
[10] Prudnikov A P., 1992, Integrals and Series, Vvol 2

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