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The iterated equation of generalized axially symmetric potential theory. V. Generalized weinstein correspondence principle

Published online by Cambridge University Press:  09 April 2009

J. C. Burns
J. C. Burns
Affiliation:
The Australian National University, Canberra, A.C.T. Institute for Fluid Dynamics and Applied Mathematics University of Maryland, College Park, Maryland
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Solutions of the iterated equation of generalized axially symmetric potential theory [1]

where the operator Lk is defined by

will be denoted by except that when n = 1, fk will be written instead of . It is easily shown [2, 3] that

by which is meant that any function is a solution of (1).

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 11 , Issue 2 , May 1970 , pp. 129 - 141
Copyright
Copyright © Australian Mathematical Society 1970

References

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