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Complex inversion theorems for generalized Stieltjes transforms

Published online by Cambridge University Press:  09 April 2009

Angelina Byrne  and
E. R. Love
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
Information
Journal of the Australian Mathematical Society , Volume 18 , Issue 3 , November 1974 , pp. 328 - 358
Copyright
Copyright © Australian Mathematical Society 1974

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