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Generalized Appell Property for the Riesz System in Dimension 3

Publikace na Matematicko-fyzikální fakulta |
2011

Tento text není v aktuálním jazyce dostupný. Zobrazuje se verze "en".Abstrakt

In this note, we give an explicit description of orthogonal (even the Gelfand-Tsetlin) bases for the spaces of homogeneous solutions of the Riesz system in dimension 3 using hypergeometric series. Moreover, we show that the basis elements in dimension 3 possess the Appell property not only with respect to one variable but even with respect to all variables.