Mathematics – Analysis of PDEs
Scientific paper
2009-03-23
Theoret. and Math. Phys. 163 (2010) 472-478
Mathematics
Analysis of PDEs
Scientific paper
In the paper the solution of KZ system (n=4, m=2) is constructed in the
explicit form in terms of the hypergeometric functions. We proved that the
corresponding solution is rational when the parameter $\rho$ is integer. We
show that in the case (n=4, m=5, $\rho$ is integer) the corresponding KZ system
hasn't got a rational solution.
Sakhnovich Lev
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