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On generalisations of Stieltjes transform

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Abstract

In this paper two different generalisations of the Stieltjes transform have been given along with their inversion formulae. The results are given in the form of two theorems. These two theorems yield many known generalisations of the transform in question as particular cases on specializing the parameters involved therein.

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Jaiswal, M.P. On generalisations of Stieltjes transform. Rend. Circ. Mat. Palermo 18, 40–48 (1969). https://doi.org/10.1007/BF02888944

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