Abstract: An arbitrary continues function of variable t can be uniformly approximated in any closed region by a polynomial, that is by the sum of terms of the form tn. Furthermore any function of t may be represented as a linear superposition of τ0tn. By the theory of complex functions, the problem of propagation crack subjected to τot" loads in interface between dissimilar media can be changed into the Keldysh-Sedov mixd problem of theory of analytic functions. In this paper, the closed solution of this problem is g...