IJPAM: Volume 43, No. 3 (2008)
EXISTENCE/NON-EXISTENCE OF CONFORMAL MAPS
FOR A FAMILY OF FUNCTIONS
FOR A FAMILY OF FUNCTIONS
Yoshihiro Mochimaru
Department of International Development Engineering
Graduate School of Science and Engineering
Tokyo Institute of Technology
Ookayama, Meguro-ku, Tokyo, 152-8550, JAPAN
e-mail: ymochima@o.cc.titech.ac.jp
Department of International Development Engineering
Graduate School of Science and Engineering
Tokyo Institute of Technology
Ookayama, Meguro-ku, Tokyo, 152-8550, JAPAN
e-mail: ymochima@o.cc.titech.ac.jp
Abstract.Existence/non-existence of conformal maps for a family of functions is shown concretely for mapping from a pentagon-like configuration to a rectangular region.
Received: November 11, 2007
AMS Subject Classification: 30C20, 30C30
Key Words and Phrases: conformal mapping, family of functions
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 43
Issue: 3