Abstract
A two point connection problem for local solutions at two regular singular points of a general linear ordinary differential equation is studied. Generalizing the results of a recent paper of D. Schmidt and the author [SIAM J. Math. Anal. 11(1980), pp. 848–862] explicit formulas for the connection matrix of the fundamental solutions are derived without restrictive assumptions. Applications to the hypergeometric equation in a Banach algebra yield new formulas for their connection factors.
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