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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
Extract
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).
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- Copyright © Glasgow Mathematical Journal Trust 1975