Mangazeev, VladimirLu, Xilin2020-06-152020-06-150550-3213http://hdl.handle.net/1885/205038In this paper we consider solutions to the reflection equation related to the higher spin stochastic six vertex model. The corresponding higher spin R-matrix is associated with the affine quantum algebra . The explicit formulas for boundary K-matrices for spins are well known. We derive difference equations for the generating function of matrix elements of the K-matrix for any spin s and solve them in terms of hypergeometric functions. As a result we derive the explicit formula for matrix elements of the K-matrix for arbitrary spin. In the lower- and upper- triangular cases, the K-matrix simplifies and reduces to simple products of q-Pochhammer symbols.application/pdfen-AU© 2019 The Author(s).http://creativecommons.org/licenses/by/4.0/201910.1016/j.nuclphysb.2019.1146652019-12-22CC BY license