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On the generalized stieltjes transform of Fox's Kernel function and its properties in the space of generalized functions

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Date

2017

Authors

Baleanu, Dumitru

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Eudoxus Press

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Abstract

In this paper, a Stieltjes transform enfolding some Fox's H-function has been investigated on certain class of generalized functions named as Boehmians. By developing two spaces of Boehmians, the extended transform has been inspected and some general properties are also obtained. An inverse problem is also discussed in some detail.

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Keywords

Fox's H-function, Stieltjes Transform, Laplace Transform, Boehmian Space, Distribution Space

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Citation

Al-Omari, Shrideh Khalaf Qasem; Baleanu, Dumitru, "On the generalized stieltjes transform of Fox's Kernel function and its properties in the space of generalized functions", Journal Of Computational Analysis And Applications, Vol.23, No.1, pp.108-118, (2017).

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Source

Journal Of Computational Analysis And Applications

Volume

23

Issue

1

Start Page

108

End Page

118