IJPAM: Volume 62, No. 2 (2010)

CONFORMAL MAPPING FROM A RECTANGULAR TO
A CIRCULAR REGION, USING SPECIAL FUNCTIONS

Yoshihiro Mochimaru
Department of International Development Engineering
Graduate School of Science and Engineering
Tokyo Institute of Technology
2-12-1, Ookayama, Meguro-ku, Tokyo, 152-8550, JAPAN
e-mail: [email protected]


Abstract.Specification of the original and mapped boundary configurations does not determine a unique conformal mapping function, resulting in infinitely many possibilities. Examples of conformal mapping of a rectangular region to a circular region except multiplication and shift, using special functions, are given.

Received: May 13, 2010

AMS Subject Classification: 30C20, 33E05

Key Words and Phrases: conformal mapping, elliptic function, Mathieu function

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 62
Issue: 2