IJPAM: Volume 18, No. 2 (2005)
NEW WAY FOR A TWO-PARAMETER CANONICAL
FORM OF SEXTIC EQUATIONS AND
ITS SOLVABLE CASES
FORM OF SEXTIC EQUATIONS AND
ITS SOLVABLE CASES
Yoshihiro Mochimaru
Department of International Development Engineering
Graduate School of Science and Engineering
Tokyo Institute of Technology
2-12-1, O-okayama, Meguru-ku, Tokyo 152-8550, JAPAN
e-mail: [email protected]
Department of International Development Engineering
Graduate School of Science and Engineering
Tokyo Institute of Technology
2-12-1, O-okayama, Meguru-ku, Tokyo 152-8550, JAPAN
e-mail: [email protected]
Abstract.A new way for a two-parameter canonical form
of sextic equations is given, through a Tschirnhausian transform
by multiple steps, supplemented with some solvable cases
at most in terms of hypergeometric functions.
Received: October 21, 2004
AMS Subject Classification: 11D41
Key Words and Phrases: sextic equation, Tschirnhausian transform
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 18
Issue: 2
