Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (2): 509-516.

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On the Generalized Weber Transforms

 ZHANG Xin-Hong, TONG De-Ke   

  1. School of Mathematics and Computational Science, China University of Petroleum, Shandong Dongying 257061
  • Received:2008-03-26 Revised:2009-05-20 Online:2010-04-25 Published:2010-04-25
  • Supported by:

    国家自然科学基金(40874044)和山东省自然科学基金(Y2007F13)资助.

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.

Key words: Bessel functions, Integral transforms, Weber transform, Inverse formula

CLC Number: 

  • 44A15
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