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JOURNALS // Matematicheskii Sbornik // Archive
Mat. Sb., 2016 Volume 207, Number 8, Pages 3–30 (Mi sm8515)
The Stokes phenomenon for an irregular Gelfand-Kapranov-Zelevinsky system associated with a rank one lattice

D. V. Artamonov

Lomonosov Moscow State University, Faculty of Economics

Abstract: An explicit description of a multidimensional Stokes phenomenon for a Gelfand-Kapranov-Zelevinsky system associated with a lattice of rank one is given.
Bibliography: 25 titles.

Keywords: Stokes phenomenon, multidimensional Pfaffian systems, Gelfand-Kapranov-Zelevinsky system, generalized hypergeometric functions.

UDC: 517.538

MSC: Primary 33C70, 34M15, 34M40; Secondary 32C38

Received: 21.03.2015 and 20.04.2016

DOI: 10.4213/sm8515


 English version: Sbornik: Mathematics, 2016, 207:8, 1037–1063

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© Steklov Math. Inst. of RAS, 2024