IJPAM: Volume 46, No. 2 (2008)

Invited Lecture Delivered at
Forth International Conference of Applied Mathematics
and Computing (Plovdiv, Bulgaria, August 12-18, 2007)


ANALYTIC SOLUTION FOR THE CAUCHY-RIEMANN
EQUATION WITH NON-LOCAL BOUNDARY CONDITIONS
IN THE FIRST QUARTER

M. Jahanshahi$^1$, M. Fatehi$^2$
$^{1,2}$Department of Mathematics
Azarbayjan University of Tarbiat Moallem
35 km Tabriz-Maraghe Road, Tabriz, IRAN
$^1$e-mail: Jahan-m15@yahoo.com


Abstract.The Cauchy-Riemann equation has an important role in the complex theory and boundary value problems. In this paper, we consider this equation with a non-local boundary condition in the first quarter. We give an analytic solution for this boundary value problem by making use of analytic continuation in complex theory.

Received: August 17, 2007

AMS Subject Classification: 35A01

Key Words and Phrases: Cauchy-Riemann equation, analytic solution, non-local boundary condition

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 46
Issue: 2