Characterization of Laguerre polynomials as orthogonal polynomials connected by the Laguerre degree raising shift operator

Author:

Aloui Baghdadi

Funder

baghdadi

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory

Reference16 articles.

1. Abdelkarim, F., Maroni, P.: The $$D_w$$ D w -classical orthogonal polynomials. Result. Math. 32, 1–28 (1997)

2. Aloui, B., Marcellán, F., Sfaxi, R.: Classical orthogonal polynomials with respect to a lowering operator generalizing the Laguerre operator. Integral Transforms Spec. Funct. 24(8), 636–648 (2013)

3. Al-Salam, W.A.: Characterization theorems for orthogonal polynomials. In: Nevai, P. (ed.) Orthogonal Polynomials: Theory and Practice. NATO ASI Series C, vol. 294, pp. 1–24. Kluwer, Dordrecht (1990)

4. Askey, R.: Divided difference operators and classical orthogonal polynomials. Rocky Mt. J. Math. 19, 33–37 (1989)

5. Bochner, S.: Über Sturm–Liouvillesche Polynomsysteme. Z. Math. 29, 6–730 (1929)

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