Explicit Form of Asymptoic Coefficients at the Entering Corner for Conformal Mapping of the L-Shaped Domain

For the conformal mapping of an - shaped domain with an arbitrary length and width of its shelves and an entering corner of πβ, explicit analytical formulas are found for the coefficients of the mapping function expansion near the vertex of the entering corner. The formulas for the quantities , called the Stress Intensity Factors (SIF), are obtained as a series in the powers of the small parameter δ:=exp(-π/) with coefficients determined only by the exponent of the angle β using explicit formulas. A brief bibliographic review on the problem of calculating stress intensity factors is also included.