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A generalisation of the Erdélyi-Kober operators

Published online by Cambridge University Press:  20 January 2009

J. S. Lowndes
J. S. Lowndes
Affiliation:
University of Strathclyde, Glasgow
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In this paper we introduce a generalised Hankel operator and generalised Erdélyi-Kober operators and deduce some relations between them. The operators are then applied to obtain solutions to some dual integral equations which have applications in diffraction theory.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 17 , Issue 2 , December 1970 , pp. 139 - 148
Copyright
Copyright © Edinburgh Mathematical Society 1970

References

REFERENCES

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(3) Srtvastav, R. P., On certain integral equations of convolution type with Bessel function kernels, Proc. Edinburgh Math. Soc. (2) 15 (1966), 111–116.CrossRefGoogle Scholar