Abstract
For the conformal mapping of an L-shaped domain with ledges of arbitrary length \(A\) and width \(h\) and a reentrant corner of size \(\pi \beta \) , we find explicit analytical formulas for the expansion coefficients \({{c}_{n}}\) of the mapping function near the vertex \({{w}_{1}}\) of the reentrant corner. The formulas for \({{c}_{n}}\) , which are known as stress intensity factors (SIFs), are derived in the form of series in powers of the small parameter \(\delta : = \exp ( - \pi A{\text{/}}h)\) with coefficients determined only by \(\beta \) using explicit formulas. A brief bibliographic survey concerning the problem of calculating SIFs is given.
