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Conference on Complex Analysis and its Applications
September 12, 2023 11:30, Krasnoyarsk


Преобразования Меллина в теории фейнмановских интегралов

I. A. Antipova

Siberian Federal University, Krasnoyarsk




References
  1. C. Berkesch, J. Forsgård, M. Passare, “Euler–Mellin Integrals and A-Hypergeometric Functions”, Michigan Mathematical Journal, 63 (2014), 101–123
  2. L. de la Cruz, “Feynman integrals as A-hypergeometric functions”, Journal of High Energy Physics, 2019, 123 (2019)
  3. I. A. Antipova, “Obrascheniya mnogomernykh preobrazovanii Mellina i resheniya algebraicheskikh uravnenii”, Matem. sb., 198:4 (2007), 3–20  mathnet  crossref  mathscinet  zmath  elib; I. A. Antipova, “Inversion of many-dimensional Mellin transforms and solutions of algebraic equations”, Sb. Math., 198:4 (2007), 447–463  crossref  isi  elib  scopus
  4. T. O. Ermolaeva, A. K. Tsikh, “Integrirovanie ratsionalnykh funktsii po $\mathbb R^n$ s pomoschyu toricheskikh kompaktifikatsii i mnogomernykh vychetov”, Matem. sb., 187:9 (1996), 45–64  mathnet  crossref  mathscinet  zmath; T. O. Ermolaeva, A. K. Tsikh, “Integration of rational functions over $\mathbb R^n$ by means of toric compactifications and multidimensional residues”, Sb. Math., 187:9 (1996), 1301–1318  crossref  isi  scopus


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