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Complex inversion theorems for generalized Stieltjes transforms

Published online by Cambridge University Press:  09 April 2009

Angelina Byrne
Affiliation:
Department of Mathematics, State College of Victoria at Melbourne, Australia
E. R. Love
Affiliation:
Department of Mathematics, University of Melbourne, Porkville, 3052, Australia
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In this paper we seek to establish some “complex inversion formulae” for the generalized Stieltjes transform for all s in the cut plane, supposing that p is any complex number except zero and the negative integers. The “cut plane” means all complex numbers except those which are negative real or zero.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1974

References

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