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The construction of the well-known Knizhnik-Zamolodchikov equations uses thecentral element of the second order in the universal enveloping algebra forsome Lie algebra. But in the universal enveloping algebra there are centralelements of higher orders. It seems desirable to use these elements for theconstruction of Knizhnik-Zamolodchikov type equations. In the present paper wegive a construction of such Knizhnik-Zamolodchikov type equations for the rootsystem $B$ associated with Capelli central elements in the universal envelopingalgebra for the orthogonal algebra.

Knizhnik-Zamolodchikov type equations for the root system $B$ and Capelli central elements