%0 Journal Article %T An infinite plate with a curvilinear hole in S-plane %A A. A. El-Bary %A I. H. El-Sirafy %J Le Matematiche %D 1999 %I University of Catania %X Cauchy integral method has been applied to derive exact and closed expressions for Goursat's functions for the first and second fundamental problems for the infinite plate weakened by a hole having arbitrary shape. The plate considered are conformally mapped on the area of the right half-plane. The work of many previous authors are considered as special cases of this work and the interesting cases when the the shape of the hole is an ellipse, a crescent, a triangle, or a cut having the shape of a circular are include as special cases. %K Infinite plate %K Cauchy integral %K First and second fundamental problem %K integro-differential function %U http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/329