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- Title
Über eine partielle Differentialgleichung mit p+2 Variablen und deren Zusammenhang mit den allgemeinen Kugelfunktionen.
- Authors
Florian, Helmut; Heersink, Rudolf
- Abstract
This paper essentially deals with operators that map harmonic functions into solutions of a class of elliptic partial differential equations in p+2 variables. Starting with the representation by means of integral operators, obtained by R. P. Gilbert, a representation free of integrals is derived by using the properties of the Riemann function. This operator has a very simple form-there are only used differential operators with respect to a parameter. Furthermore,with this result, we are able to give a representation formula for the Spherical Harmonics of degree N in 2l+1 dimensions, similar to that given by K. W. Bauer.
- Publication
Manuscripta Mathematica, 1974, Vol 12, Issue 4, p339
- ISSN
0025-2611
- Publication type
Article
- DOI
10.1007/BF01171080