Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2023 16 (6)
- Authors
- Antipova, Irina A.; Efimov, Timofey A.; Tsikh, Avgust K.
- Contact information
- Antipova, Irina A. : Siberian Federal University Krasnoyarsk, Russian Federation; OCRID: 0000-0003-1382-0799; Efimov, Timofey A.: MAEI Gymnasium no. 10 Divnogorsk, Krasnoyarsk Krai, Russian Federation; ; Tsikh, Avgust K. : Siberian Federal University Krasnoyarsk, Russian Federation; OCRID: 0000-0002-2905-9167
- Keywords
- multidimensional Mellin transform; quasi-elliptic polynomial; Leray residue form; amoeba
- Abstract
The paper deals with residue representations of n–dimensional Mellin transforms for rational functions with quasi-elliptic denominators. These representations are given by integrals over (n − 1)- dimensional relative cycles. The amount of representations (or cycles) equals to the number of facets of the Newton polytope for the denominator of the rational function
- Pages
- 738–750
- EDN
- HDYVVF
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/151857
Journal of Siberian Federal University. Mathematics & Physics / Mellin Transforms for Rational Functions with Quasi-elliptic Denominators
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