Article contents
Generating functions and semi-classical orthogonal polynomials
Published online by Cambridge University Press: 14 November 2011
Extract
An orthogonal family of polynomials is given, and a link is made between the special form of the coefficients of their recurrence relation and a first-order linear homogenous partial differential equation satisfied by the associated generating function. A study is also made of the semiclassical character of such families.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 124 , Issue 5 , 1994 , pp. 1003 - 1011
- Copyright
- Copyright © Royal Society of Edinburgh 1994
References
- 3
- Cited by