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A distributional generalised Stieltjes transformation

Published online by Cambridge University Press:  20 January 2009

R. S. Pathak
R. S. Pathak
Affiliation:
Banaras Hindu University, Varanasi 221005, India
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The generalised Stieltjes transform of a function f(t) ∈ L(0, ∞) is defined by

The integral converges for complex s in the region Ω, where Ω is the s-plane cut from the origin along the negative real axis.

Information

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 20 , Issue 1 , March 1976 , pp. 15 - 22
Copyright
Copyright © Edinburgh Mathematical Society 1976

References

REFERENCES

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