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On an integral transform

Published online by Cambridge University Press:  18 May 2009

D. Naylor
D. Naylor
Affiliation:
Department Of Applied Mathematics, University of Western Ontario, London, Ontario, Canada
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In this paper the author continues the search for a suitable integral transform that can be applied to certain boundary value problems involving the Helmholtz equation and the condition of radiation. The transform in question must be capable of eliminating the r-dependence appearing in the partial differential equation

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 20 , Issue 1 , January 1979 , pp. 1 - 14
Copyright
Copyright © Glasgow Mathematical Journal Trust 1979

References

REFERENCES

1.Chakrabarti, A., Derivation of certain finite Kontorovich type of integral transforms, Studia. Sci. Math. Hunger. 4 (1969), 45–53.Google Scholar
2.Cohen, D. S., Eigenfunction expansions and non-self adjoint boundary value problems, Comm. Pure Appl. Math. 17 (1964), 23–34.CrossRefGoogle Scholar
3.Naylor, D., On an integral transform associated with a condition of radiation, Proc. Cambridge Philos. Soc. 71 (1972), 369–379.CrossRefGoogle Scholar
4.Naylor, D., Choo, F. C., and Barclay, D. W., On an eigenfunction expansion associated with a condition of radiation, part 2. Proc. Cambridge Philos. Soc. 74 (1973), 485–496.CrossRefGoogle Scholar
5.Naylor, D., On an integral transform associated with a condition of radiation, part 2. Proc. Cambridge Philos. Soc. 77 (1975), 189–197.CrossRefGoogle Scholar
6.Pflumm, E., Expansion problems arising from the Watson transformation, New York University, Division of Electromagnetic Research, Report BR 35 (1960).Google Scholar
7.Titchmarsh, E. C., Eigenfunction expansions associated with second order differential equations, Part 1, Second edition (Oxford University Press, 1962).CrossRefGoogle Scholar
8.Watson, G. N., Theory of Bessel functions, Second edition (Cambridge University Press, 1958).Google Scholar