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An application of some fractional integrals

Published online by Cambridge University Press:  18 May 2009

J. S. Lowndes
J. S. Lowndes
Affiliation:
Department of Mathematics, University of Strathclyde, Glasgow
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1. A discussion of the Erdélyi-Kober operator

and its adjoint operator Kη,α together with an account of some of their applications can be found in the book by Sneddon [5].

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 20 , Issue 1 , January 1979, pp. 35 - 41
Copyright
Copyright © Glasgow Mathematical Journal Trust 1979

References

REFERENCES

1.Erdélyi, A., An application of fractional integrals, J. Analyse Math. 14 (1965), 113–126.CrossRefGoogle Scholar
2.Gilbert, R. P., Function theoretic methods in partial differential equations (Academic Press, 1969).Google Scholar
3.Henrici, P., Complete systems of solutions for a class of singular elliptic partial differential equations, Boundary problems in differential equations (University of Wisconsin Press, Wisconsin, 1960), 19–34.Google Scholar
4.Lowndes, J. S., A generalisation of the Erdélyi-Kober operators, Proc. Edinburgh Math. Soc. 17 (1970), 139–148.CrossRefGoogle Scholar
5.Sneddon, I. N., Mixed boundary value problems in potential theory (North Holland, 1966).Google Scholar