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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
Abstract
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.
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- Copyright © Australian Mathematical Society 2000