Tauberian-type theorems with application to the Stieltjes transformation

Tauberian-type theorems with application to the Stieltjes transformation

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In the first part, we define the space L'(r) and the modified Stieltjes transformation introduced by Lavoine and Misra (1979) and Marichev (1983), respectively. In the second part of the paper, we extend Tauberian-type theorems for the distributional Stieltjes transformations to the distributi...

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Main Authors: S. B. Gaikwad, M. S. Chaudhary
Format: Article
Language:English
Published: Hindawi Limited 2006-09-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS/2006/75816
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spelling doaj-c3942705abf14d13a7e6ef60ad7bead42020-11-24T23:32:56ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-09-01200610.1155/IJMMS/2006/75816Tauberian-type theorems with application to the Stieltjes transformationS. B. GaikwadM. S. ChaudharyIn the first part, we define the space L'(r) and the modified Stieltjes transformation introduced by Lavoine and Misra (1979) and Marichev (1983), respectively. In the second part of the paper, we extend Tauberian-type theorems for the distributional Stieltjes transformations to the distributional modified Stieltjes transformations.http://dx.doi.org/10.1155/IJMMS/2006/75816
collection DOAJ
language English
format Article
sources DOAJ
author S. B. Gaikwad
M. S. Chaudhary
spellingShingle S. B. Gaikwad
M. S. Chaudhary
Tauberian-type theorems with application to the Stieltjes transformation
International Journal of Mathematics and Mathematical Sciences
author_facet S. B. Gaikwad
M. S. Chaudhary
author_sort S. B. Gaikwad
title Tauberian-type theorems with application to the Stieltjes transformation
title_short Tauberian-type theorems with application to the Stieltjes transformation
title_full Tauberian-type theorems with application to the Stieltjes transformation
title_fullStr Tauberian-type theorems with application to the Stieltjes transformation
title_full_unstemmed Tauberian-type theorems with application to the Stieltjes transformation
title_sort tauberian-type theorems with application to the stieltjes transformation
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2006-09-01
description In the first part, we define the space L'(r) and the modified Stieltjes transformation introduced by Lavoine and Misra (1979) and Marichev (1983), respectively. In the second part of the paper, we extend Tauberian-type theorems for the distributional Stieltjes transformations to the distributional modified Stieltjes transformations.
url http://dx.doi.org/10.1155/IJMMS/2006/75816
work_keys_str_mv AT sbgaikwad tauberiantypetheoremswithapplicationtothestieltjestransformation
AT mschaudhary tauberiantypetheoremswithapplicationtothestieltjestransformation
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