Hypergeometric Orthogonal Polynomials and Their q-Analogues

1. Definitions and Miscellaneous Formulas
Roelof Koekoek, Peter A. Lesky, René F. Swarttouw

2. Polynomial Solutions of Eigenvalue Problems
Roelof Koekoek, Peter A. Lesky, René F. Swarttouw

3. Orthogonality of the Polynomial Solutions
Roelof Koekoek, Peter A. Lesky, René F. Swarttouw

4. Orthogonal Polynomial Solutions of Differential Equations
Roelof Koekoek, Peter A. Lesky, René F. Swarttouw

5. Orthogonal Polynomial Solutions of Real Difference Equations
Roelof Koekoek, Peter A. Lesky, René F. Swarttouw

6. Orthogonal Polynomial Solutions of Complex Difference Equations
Roelof Koekoek, Peter A. Lesky, René F. Swarttouw

7. Orthogonal Polynomial Solutions in x(x+u) of Real Difference Equations
Roelof Koekoek, Peter A. Lesky, René F. Swarttouw

8. Orthogonal Polynomial Solutions in z(z+u) of Complex Difference Equations
Roelof Koekoek, Peter A. Lesky, René F. Swarttouw

9. Hypergeometric Orthogonal Polynomials
Roelof Koekoek, Peter A. Lesky, René F. Swarttouw

10. Orthogonal Polynomial Solutions of q-Difference Equations
Roelof Koekoek, Peter A. Lesky, René F. Swarttouw

11. Orthogonal Polynomial Solutions in q
−x
of q-Difference Equations
Roelof Koekoek, Peter A. Lesky, René F. Swarttouw

12. Orthogonal Polynomial Solutions in q
−x
+uq

x
of Real q-Difference Equations
Roelof Koekoek, Peter A. Lesky, René F. Swarttouw

13. Orthogonal Polynomial Solutions in $frac{a}{z}+frac{uz}{a}$ of Complex q-Difference Equations
Roelof Koekoek, Peter A. Lesky, René F. Swarttouw

14. Basic Hypergeometric Orthogonal Polynomials
Roelof Koekoek, Peter A. Lesky, René F. Swarttouw

Nyckelord: Mathematics, Special Functions