Mellin Transforms for Rational Functions with Quasi-elliptic Denominators

被引：0

作者：

Antipova, Irina A. ^{[1
]}

Efimov, Timofey A. ^{[2
]}

Tsikh, Avgust K. ^{[1
]}

机构：

[1] Siberian Fed Univ, Krasnoyarsk, Russia

[2] MAEI Gymnasium 10, Divnogorsk, Krasnoyarsk Kra, Russia

来源：

JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS | 2023年 / 16卷 / 06期

基金：

俄罗斯科学基金会;

关键词：

multidimensional Mellin transform; quasi-elliptic polynomial; Leray residue form; amoeba;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：738 / 750

页数：13

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