Electrostatic interpretation for the zeros of certain polynomials and the Darboux process

Journal of Computational and Applied Mathematics

Volumn 133, Issue 1-2, 2001, Pages 397-412

  Grunbaum F Alberto ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Darboux process; Electrostatic interpretation; Stieltjes; Zeros of polynomials

Indexed keywords

MATHEMATICAL OPERATORS; POLYNOMIALS; RECURSIVE FUNCTIONS;

STIELTJES;

ELECTROSTATICS;

MATHEMATICAL METHOD;

EID: 0035417523     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(00)00661-0     Document Type: Article

References (24)

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8. A theorem of Bochner, revisited
9. Bispectral Darboux transformations: An extension of the Krall Polynomials
10. On the Krall-Hermite and the Krall-Bessel polynomials
11. Some functions that generalize the Krall-Laguerre polynomials
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14. An electrostatic model for zeros of general orthogonal polynomials
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16. A method of determining quantum mechanical eigenvalues and eigenfunctions
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20. The impact of Stieltjes' work on continued fractions and orthogonal polynomials: Additional material