Differential operators having Sobolev-type laguerre polynomials as eigenfunctions: New developments

Journal of Computational and Applied Mathematics

Volumn 133, Issue 1-2, 2001, Pages 183-193

  Bavinck, H ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Differential operator; Laguerre polynomial; Sobolev type orthogonal polynomial

Indexed keywords

DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; PERTURBATION TECHNIQUES;

LAGUERRE POLYNOMIALS;

POLYNOMIALS;

MATHEMATICAL METHOD;

EID: 0035418171     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(00)00642-7     Document Type: Article

References (10)

1. A direct approach to Koekoek's differential equation for generalized Laguerre polynomials
2. Differential operators having sobolev type laguerre polynomials as eigenfunctions
3. Differential operators having laguerre type and sobolev type laguerre polynomials as eigenfunctions: A survey
4. On the sum of the coefficients of certain differential operators
5. Differential and difference operators having orthogonal polynomials with two linear perturbations as eigenfunctions
6. On a linear perturbation of the Laguerre operator
7. Differential equations of infinite order for Sobolev-type orthogonal polynomials
8. On a differential equation for koornwinder's generalized Laguerre polynomials
9. On differential equations for Sobolev-type Laguerre polynomials
10. The search for differential equations for certain sets of orthogonal polynomials