Recent developments on the Stieltjes transform of generalized functions

Recent developments on the Stieltjes transform of generalized functions

This paper is concerned with recent developments on the Stieltjes transform of generalized functions. Sections 1 and 2 give a very brief introduction to the subject and the Stieltjes transform of ordinary functions with an emphasis to the inversion theorems. The Stieltjes transform of generalized fu...

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Bibliographic Details
Main Authors: Ram Sankar Pathak, Lokenath Debnath
Format: Article
Language:English
Published: Hindawi Limited 1987-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Stieltjes transforms of ordinary and generalized functions
real and complex inversion theorems
Kernel and adjoint methods
Poisson transforms
Laplace transforms
fractional order integration
Weyl fractional integral
hypergeometric transform
Abelian theorems
final-value and initial-value results.
Online Access:http://dx.doi.org/10.1155/S0161171287000784

Internet

http://dx.doi.org/10.1155/S0161171287000784

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