Author(s)

F. S. Bayones, B. M. Alharbi

Department of Mathematics, Faculty of Science, Taif University, Taif, KSA.

In this work, we used the complex variable methods to derive the Goursat functions for the first and second fundamental problem of an infinite plate with a curvilinear hole C. The hole is mapped in the domain inside a unit circle by means of the rational mapping function. Many special cases are discussed and established of these functions. Also, many applications and examples are considered. The results indicate that the infinite plate with a curvilinear hole inside the unit circle is very pronounced.

Complex Variable Method, An Infinite Plate, Curvilinear Hole, Conformal Mapping, Goursat Functions

Bayones, F. and Alharbi, B. (2015) On a Problem of an Infinite Plate with a Curvilinear Hole inside the Unit Circle. Applied Mathematics, 6, 206-220. doi: 10.4236/am.2015.61020.