Article contents
A q-Extension of Feldheim's Bilinear Sum for Jacobi Polynomials and Some Applications
Published online by Cambridge University Press: 20 November 2018
Extract
The main objective of this paper is to find useful q-extensions of Feldheim's [6] bilinear formula for Jacobi polynomials, namely,
1.1
where the Appel function F4 is defined by
1.2
α1, α2, ρ are arbitrary complex parameters such that the series on both sides of (1.1) are convergent, and
1.3
is the Jacobi polynomial of degree k, (a)k being the usual shifted factorial.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1985
References
- 4
- Cited by