Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 22, No. 3, pp. 247-264 (2006)

Ruscheweyh differential operator sets of basic sets of polynomials of several complex variables in hyperelliptical regions

G. F. Hassan

University of Assiut

Abstract: 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.

Keywords: Ruscheweyh differential operator, polynomials, hyperelliptical regions.

Classification (MSC2000): 32A05; 32A15, 32A99

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