For the conformal mapping of an L-shaped domain with ledges of arbitrary length A and width h and a reentrant corner of size, we find explicit analytical formulas for the expansion coefficients {c₍} of the mapping function near the vertex {w₁} of the reentrant corner. The formulas for {c₍}, which are known as stress intensity factors (SIFs), are derived in the form of series in powers of the small parameter: = (- A/h) with coefficients determined only by using explicit formulas. A brief bibliographic survey concerning the problem of calculating SIFs is given.
Vlasov et al. (Mon,) studied this question.