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

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 obt...

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Bibliographic Details
Published in:ISRN applied mathematics 2012-12, Vol.2012 (2012), p.1-10
Main Authors: Ansari, Alireza, Ahmadi Darani, Mohammadreza
Format: Article
Language:English
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Summary: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.
ISSN:2090-5564
2090-5572
2090-5572
DOI:10.5402/2012/608712