Zeitschrift für Analysis und ihre Anwendungen
Full-Text PDF (1257 KB) | Metadata | Table of Contents | ZAA summary
Published online: 1991-06-30
Transmutations and AscentLouis R. Bragg (1) Oakland University, Rochester, USA
We treat the method of ascent for partial differential equations by means of transmutations. We construct a kernel function for the radial generalized axially symmetric potential theory Dirichlet problem that involves $n$ radial variables. We also construct ascent type formulas for hypergeometric functions of operators and apply one of them to construct a solution of an ill posed Cauchy problem. Generating functions of special multivariable solution sets of partial differential equations are also considered.
Keywords: Transmutation, Laplace transform, ascent, kernel function, hypergeometric operators, quasi inner product, generating functions
Bragg Louis: Transmutations and Ascent. Z. Anal. Anwend. 10 (1991), 123-148. doi: 10.4171/ZAA/436