Article contents
Generating functions related to the Okamoto polynomials for the Painlevé IV equation
Published online by Cambridge University Press: 17 April 2009
Extract
We construct generating functions for the entries of Hankel determinant formula for the Okamoto polynomials which characterise a class of rational solutions to the Painlevé IV equation. Generating functions are characterised as asymptotic expansions of log derivative of Ai and Bi, which are solutions of the Airy equation.
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 2005
References
- 3
- Cited by