Special solutions and linear monodromy for the two-dimensional degenerate Garnier system G(1112) (Q401255)

The author focuses on the linear problem for the two-dimensional degenerate Garnier system \(G(1112)\). The corresponding isomonodromy deformation equation has three regular singular points fixed at \(0, t_2, \infty\) and one irregular singular point of Poincaré rank 1 fixed at 1. In particular, step by step by limit procedures that cause a coalescence or a separation of the singularities, he calculates in an explicit way the linear monodromy data for 8 meromorphic solutions around the origin of the corresponding to \(G(1112)\) Hamiltonian system \(\mathcal H_2(1112)\).