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On an integral transform associated with a condition of radiation

Published online by Cambridge University Press:  24 October 2008

D. Naylor
D. Naylor
Affiliation:
University of Western Ontario
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Extract

1. There has been considerable debate on the conditions under which a given function f(r) can be expanded as a series of the orthogonal functions where υ1, υ2, … are the zeros of the Hankel function regarded as a function of its order. Here k, a are positive constants and 0 < a ≤ r < ∞. The formal expansion can be written as

where

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 71 , Issue 2 , March 1972 , pp. 369 - 379
Copyright
Copyright © Cambridge Philosophical Society 1972

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References

REFERENCES

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