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A distributional generalised Stieltjes transformation
Published online by Cambridge University Press: 20 January 2009
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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.
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- Copyright © Edinburgh Mathematical Society 1976
References
REFERENCES
(1) Pandey, J. N. and Zemanian, A. H., Complex inversion for the generalized convolution transformation, Pacific J. Math. 25 (1968), 147–157.CrossRefGoogle Scholar
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(4) Sumner, D. B., An inversion formula for the generalized Stieltjes transform, Bull. Amer. Math. Soc. 55 (1949), 174–183.Google Scholar
(7) Zemanian, A. H., Generalized integral transformations (Interscience Publishers, 1968).Google Scholar
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