On a generalized finite Hankel transform

被引:16
作者
Garg, Mridula
Rao, Alka
Kalla, S. L.
机构
[1] Kuwait Univ, Dept Math & Comp Sci, Safat 13060, Kuwait
[2] Univ Rajasthan, Dept Math, Jaipur 302004, Rajasthan, India
关键词
bessel functions; boundary conditions; differential equations; finite Hankel transform; integral transform;
D O I
10.1016/j.amc.2007.01.076
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In the present work we introduce a finite integral transform involving combination of Bessel functions as kernel under prescribed conditions. The corresponding inversion formula and some properties of this transform have also been given. Three problems of heat conduction in an infinite, a semi-infinite and a finite circular cylinder bounded by given surfaces with radiation-type boundary value conditions have been solved by applying this transform. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码:705 / 711
页数:7
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