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Ruscheweyh differential operator sets of basic sets of polynomials of several complex variables in hyperelliptical regions. (English) Zbl 1120.32001
Summary: In this paper we study the effectiveness of Ruscheweyh differential operator sum and product sets of basic sets of polynomials of several complex variables in hyperelliptical regions. These results extend and improve the existing relevant results of Ruscheweyh differential operator sets in hyperspherical regions.

MSC:
32A05 Power series, series of functions of several complex variables
32A15 Entire functions of several complex variables
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