WKB Analysis of Painlevé Transcendents with a Large Parameter: III. Local Reduction of 2-Parameter Painlevé Transcendents

✍ Scribed by Takahiro Kawai; Yoshitsugu Takei

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 464 KB
• Volume: 134
• Category: Article
• ISSN: 0001-8708
• DOI: 10.1006/aima.1997.1716

✦ Synopsis

dedicated to professor mikio sato on the occasion of his 70th birthday 0. INTRODUCTION This paper is the third of a series of articles on WKB analysis of Painleve transcendents with a large parameter ', i.e., solutions of Painleve equations (P J ) (J=I, II, ..., VI) with a large parameter ', which are in Table 0.1 below: Table 0.1. Painleve equations with a large parameter '. d 2 * dt 2 =' 2 (6* 2 +t), (P I ) d 2 * dt 2 =' 2 (2* 3 +t*+c), (P II )

_ (c 0 +c )&c 0 1 * 2 &c 2 t (*&1) 2 &c 1 t 2 *+1 (*&1) 3 & ,