Extending the Stieltjes Transform
DOI:
https://doi.org/10.5644/SJM.10.2.06Keywords:
Abelian theorems, Boehmians, generalized function, iterated Laplace transform, Stieltjes transformAbstract
The classical Stieltjes transform is extended to a subspace of Boehmians. The transform is shown to be an analytic function in the half-plane $\mbox{Re}$ $z > 0$. Some Abelian type theorems are established.
2010 Mathematics Subject Classification. 44A15, 46F12, 44A10.
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References
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