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ISRN Applied Mathematics
Article . 2012 . Peer-reviewed
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ISRN Applied Mathematics
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Article . 2012
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https://dx.doi.org/10.5402/201...
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New Inversion Techniques for Some Integral Transforms via the Generalized Product Theorem of the Mellin Transform

New inversion techniques for some integral transforms via the generalized product theorem of the Mellin transform
descriptionPublicationkeyboard_double_arrow_right Article 28 Mar 2012 English Publisher:WileyJournal:ISRN Applied Mathematics, volume 2,012, pages 1-10 (eissn: 2090-5572, Copyright policy )
Authors: Alireza Ansari; Mohammadreza Ahmadi Darani;

doi: 10.5402/2012/608712

New Inversion Techniques for Some Integral Transforms via the Generalized Product Theorem of the Mellin Transform

Abstract

We introduce the generalized product theorem for the Mellin transform, and we solve certain classes of singular integral equations with kernels coincided with conditions of this theorem. Also, new inversion techniques for the Wright, Mittag-Leffler, Stieltjes, and Widder potential transforms are obtained.

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Keywords

Special integral transforms (Legendre, Hilbert, etc.)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
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