Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2021 14 (5)
- Authors
- Senashov, Artem V.
- Contact information
- Senashov, Artem V.: Siberian Federal University Krasnoyarsk, Russian Federation;
- Keywords
- multidimensional power series; complex integral; integral representation; amoeba; Taylor series; diagonal of a power series
- Abstract
In this paper we present integral representations for the diagonals of power series. Such representations are obtained by lowering the multiplicity of integration for the previously known integral representation. The procedure for reducing the order of integration is carried out in the framework of the Leray theory of multidimensional residues. The concept of the amoeba of a complex analytic hypersurface plays a special role in the construction of new integral representations
- Pages
- 624–631
- DOI
- 10.17516/1997-1397-2021-14-5-624-631
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/143737
Journal of Siberian Federal University. Mathematics & Physics / A List of Integral Representations for the Diagonal of Power Series of a Rational Function
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