Video library: I. A. Antipova, Mellin transformation in the theory of algebraic equations. Lecture 1

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Contemporary methods in approximation theory and complex analysis
November 13, 2023 11:00–12:00, Moscow, Steklov Mathematical Institute of RAS (8 Gubkina)

Mellin transformation in the theory of algebraic equations. Lecture 1

I. A. Antipova

Siberian Federal University, Krasnoyarsk

*Video records:*
	MP4	2,335.1 Mb

References

P. Flajolet, X. Gourdon, P. Dumas, “Mellin transforms and asymptotics: Harmonic sums”, Theoret. Comput. Sci., 144 (1995), 3–58
Gelfand, I. M., Kapranov, M. M., Zelevinsky, A. V., Discriminants, Resultants, and Miltidimensional Determinants, Birkhauser, 1994
de la Cruz, L., “Feynman integrals as A-hypergeometric functions”, J. High Energ. Phys., 123 (2019)
H. Mellin, “Résolution de l'équation algébrique générale $\grave{a}$ l'aide de la fonction $\Gamma$”, C.R. Acad. Sci., 172 (1921), 658–661
I. A. Antipova, “Obrascheniya mnogomernykh preobrazovanii Mellina i resheniya algebraicheskikh uravnenii”, Matem. sb., 198:4 (2007), 3–20
I. A. Antipova, E. N. Mikhalkin,, “Analiticheskie prodolzheniya obschei algebraicheskoi funktsii s pomoschyu ryadov Pyuizo”, Analiticheskie i geometricheskie voprosy kompleksnogo analiza, Sbornik statei,, Trudy MIAN, 279, MAIK «Nauka/Interperiodika», M., 2012, 9–19
M. Passare, A. Tsikh, “Algebraic equations and hypergeometric series”, The Legasy of N.H. Abel, Springer-Verlag, 2004, 563–582

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