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Derivative-type ascent formulas for kernels of some half-space Dirichlet problems

Published online by Cambridge University Press:  17 February 2009

L. R. Bragg
L. R. Bragg
Affiliation:
Department of Mathematics and Statistics, Oakland University, Rochester, MI 48309–4485, USA.
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Abstract

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Derivative-type ascent formulas are deduced for the kernels of certain half-space Dirichlet problems. These have the character of differentiation formulas for the Bessel functions but involve modifying variables after completing the differentiations. The Laplace equation and the equation of generalized axially-symmetric potential theory (GASPT) are considered in these. The methods employed also permit treating abstract versions of Dirichlet problems.

Type
Research Article
Information
The ANZIAM Journal , Volume 42 , Issue 2 , October 2000 , pp. 185 - 194
Copyright
Copyright © Australian Mathematical Society 2000

References

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