Can I read The orthogonality of Al-Salam-Carlitz polynomials for complex parameters on EtoBox?

The orthogonality of Al-Salam-Carlitz polynomials for complex parameters by Cohl, H. S.; Costas-Santos, R. S.; Xu, W. is a scholarly article available to read on EtoBox.

What is The orthogonality of Al-Salam-Carlitz polynomials for complex parameters about?

In this contribution, we study the orthogonality conditions satisfied by Al-Salam-Carlitz polynomials $U^{(a)}_n(x;q)$ when the parameters $a$ and $q$ are not necessarily real nor `classical', i.e., the linear functional $\bf u$ with respect to such polynomial sequence is quasi-definite and not positive definite. We establish orthogonality on a simple contour in the complex plane which depends on the parameters. In all cases we show that the orthogonality conditions characterize the Al-Salam-Carlitz polynomials $U_n^{(a)}(x;q)$ of degree $n$ up to a constant factor. We also obtain a generalization of the unique generating function for these polynomials.

Author

Cohl, H. S.; Costas-Santos, R. S.; Xu, W.

Published

2016

Language

EN