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Properties and applications of a certain operator associated with the Kontorovich-Lebedev transform†

Published online by Cambridge University Press:  18 May 2009

Ari Ben-Menahem
Ari Ben-Menahem
Affiliation:
Department of Applied Mathematics, The Weizmann Institute of Science, Rehovot, Israel
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The integral

arises in problems of scalar wave propagation in welded elastic wedges. In (1.1), Kim(β1r) is the modified Bessel function of the second kind and m, τ are real. It is shown that Q(τ, m) is a generalized function that includes a complex shift operator. We shall investigate the properties of this operator and establish a new integral transform based on the kernel Q(τ, m).

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 16 , Issue 2 , September 1975 , pp. 109 - 122
Copyright
Copyright © Glasgow Mathematical Journal Trust 1975

References

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