Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2018 11 (3)
- Authors
- Egorychev, Georgy P.; Krivokolesko, Viacheslav P.
- Contact information
- Egorychev, Georgy P.: Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia; ; Krivokolesko, Viacheslav P.: Institute of Mathematics and Computer Science Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia;
- Keywords
- integral representations; Mellin transform; combinatorial identities
- Abstract
With the help of the Mellin transform we give a simple calculation of an integral of rational functions in several independent parameters aerlier appeared in [2]. The efficiency of this transform is due to the fact that calculation the degree of the polynomial acts as the degree of a monomial. In 2008, G. P. Egorychev and E.V. Zima [5] for the first time successfully used the Mellin transform in the theory of rational summation. The possibility of its application in the analysis and computation of integrals with different types of rational functions is discussed
- Pages
- 364–369
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/71620
Journal of Siberian Federal University. Mathematics & Physics / Computation of an Integral of a Rational Function over the Skeleton of Unit Polycylinder in Cn by Means of the Mellin Transform
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