A difference operator of infinite order with Sobolev-type Charlier polynomials as eigenfunctions

Indagationes Mathematicae

Volumn 7, Issue 3, 1996, Pages 281-291

  Bavinck, Herman ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

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EID: 0030607098     PISSN: 00193577     EISSN: None     Source Type: Journal    
DOI: 10.1016/0019-3577(96)83721-9     Document Type: Article

References (9)

1. 1. Bavinck, H. - On polynomials orthogonal with respect to an inner product involving differences. TWI Report 92-81. J. Comp. Appl. Math. 57, 17-27 (1995).
2. 2. Bavinck, H. - A direct approach to Koekoek's differential equation for generalized Laguerre polynomials. Acta Math. Hungar. 66 (3), 247-253 (1995).
3. 3. Bavinck, H. - On polynomials orthogonal with respect to an inner product involving differences (The general case). TWI Report 93-32. To appear in Appl. Anal.
4. 4. Bavinck, H. and R. Koekoek - On a difference equation for generalizations of Charlier polynomials. J. Approx. Theory 81, 195-206 (1995).
5. 5. Koekoek, J., R. Koekoek and H. Bavinck - On differential equations for Sobolev-type Laguerre polynomials. To appear.
6. 6. Chihara, T.S. - An introduction to orthogonal polynomials. Mathematics and Its Applications 13. Gordon and Breach, New York (1978).
7. 7. Koekoek, J. and R. Koekoek - On a differential equation for Koornwinder's generalized Laguerre polynomials. Proc. Amer. Math. Soc. 112, 1045-1054 (1991).
8. 8. Koekoek, R. and H.G. Meijer - A generalization of Laguerre polynomials. SIAM J. Math. Anal. 24 (3), 768-782 (1993).
9. β + Mδ(x + 1) + Nδ(x - 1). Canad. Math. Bull. 27 (2), 205-214 (1984).