Integral Solutions to Schlesinger Equations

Verfasser / Beitragende:
[V. Leksin]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 208/2(2015-07-01), 229-239
Format:
Artikel (online)
ID: 605525587
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024 7 0 |a 10.1007/s10958-015-2440-3  |2 doi 
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100 1 |a Leksin  |D V.  |u Moscow State Region Institute of Social Studies and Humanities, 30, Zelenaya St., 140410, Kolomna, Russia  |4 aut 
245 1 0 |a Integral Solutions to Schlesinger Equations  |h [Elektronische Daten]  |c [V. Leksin] 
520 3 |a It is shown that Schlesinger equations for isomonodromic deformations of Fuchsian systems of order p on the Riemann spheres with upper triangular monodromy are reduced to multidimensional linear homogeneous (p = 2) and inhomogeneous (≥ 3) Pfaffian systems. For components of the solutions to the multidimensional linear Pfaffian systems (p = 2) we obtain integral representations of hypergeometric type and expressions in quadratures close to the hypergeometric Schlesinger equations describing deformations of upper triangular Fuchsian systems of order p = 3. 
540 |a Springer Science+Business Media New York, 2015 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 208/2(2015-07-01), 229-239  |x 1072-3374  |q 208:2<229  |1 2015  |2 208  |o 10958 
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950 |B NATIONALLICENCE  |P 100  |E 1-  |a Leksin  |D V.  |u Moscow State Region Institute of Social Studies and Humanities, 30, Zelenaya St., 140410, Kolomna, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 208/2(2015-07-01), 229-239  |x 1072-3374  |q 208:2<229  |1 2015  |2 208  |o 10958