Recurrence equations and their classical orthogonal polynomial solutions

Applied Mathematics and Computation

Volumn 128, Issue 2-3, 2002, Pages 303-327

  Koepf, Wolfram ^a,c   Schmersau, Dieter ^b  

^a LEIPZIG UNIVERSITY OF APPLIED SCIENCES   (Germany)

^b FREIE UNIVERSITÄT BERLIN   (Germany)

^c UNIVERSITY OF KASSEL   (Germany)

Author keywords

Computer algebra; Differential equation; Maple; Q difference equation; Structure formula

Indexed keywords

ALGEBRA; ALGORITHMS; DIFFERENCE EQUATIONS; MATHEMATICAL OPERATORS; THEOREM PROVING;

ORTHOGONAL POLYNOMIALS; RECURRENCE EQUATIONS;

POLYNOMIALS;

EID: 0037172338     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(01)00078-9     Document Type: Article

References (18)

1. The Bessel polynomials
2. Über sturm-liouvillesche polynomsysteme
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4. Über orthogonalpolynome, die q-differenzengleichungen
5. Representations of orthogonal polynomials
6. Compact quantum groups and q-special functions
7. Die charakterisierung der klassischen orthogonalen polynome durch sturm-liouvillesche differentialgleichungen
8. Über polynomlösungen von differentialgleichungen und differenzengleichungen zweiter ordnung
9. Solving polynomial equation systems by Groebner type methods
10. On decomposing systems of polynomial equations with finitely many solutions