45 years of orthogonal polynomials: A view from the wings

Journal of Computational and Applied Mathematics

Volumn 133, Issue 1-2, 2001, Pages 13-21

  Chihara, T S ^a  

^a PURDUE UNIVERSITY CALUMET   (United States)

Author keywords

Continued fractions; Moment problems; Orthogonal polynomials; Special functions

Indexed keywords

COMPUTATIONAL METHODS;

ORTHOGONAL POLYNOMIALS;

POLYNOMIALS;

MATHEMATICAL METHOD;

EID: 0035417818     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(00)00632-4     Document Type: Article

References (55)

1. Some questions in the theory of moments
2. Sieved ultraspherical polynomials
3. On the product of two Legendre polynomials
4. On a characterization of some orthogonal functions
5. Some orthogonal q-polynomials
6. On some problems posed by Karlin and Szegö
7. Orthogonal expansions with positive coefficients
8. Positive Jacobi polynomial sums II
9. Mean summability for ultraspherical polynomials
10. The attractive Coulomb potential polynomials
11. On some polynomials of Tricomi
12. Some orthogonal polynomials related to elliptic functions
13. Orthogonal polynomials from the viewpoint of scattering theory
14. The derived set of the spectrum of a distribution function
15. The one-quarter class of orthogonal polynomials
16. On Lommel and Bessel polynomials
17. On a class of polynomials orthogonal over a denumerable set
18. Quasitriangular matrices
19. Tridiagonal matrix representations of cyclic self-adjoint operators
20. Stochastic monotinicity and queueing applications of birth-death processes
21. Sur une classe de polynomes orthogonaux géneralisant ceux de Laguerre et de Hermite
22. Orthogonalisierung auf einem k-strahliegen symmetrischen integrationsstern
23. Polynomials orthogonal over a denumerable set
24. On sieved orthogonal polynomials I: Symmetric Pollaczek analogues
25. Fourier series and orthogonal polynomials carus monograph
26. A strong Stieltjes moment problem
27. The differential equations of birth and death processes and the Stieltjes moment problem
28. Many server queueing process with Poisson input and exponential service times
29. Spectral theory for the differential equations of simple birth and death processes
30. Unendliche orthgonale Matrizen und Laguerresche Matrizen
31. Orthogonale Polynomsysteme als Lösungen Sturm-Liouvillscher Differenzengleichungen
32. A note on recursively defined orthogonal polynomials
33. The supports of measures associated with orthogonal polynomials and the spectra of the related self-adjoint operators
34. Orthogonal polynomials
35. Contiguous orthogonal polynomials
36. A class of continued fractions
37. On the numerators of the convergents of the Stieltjes continued fraction
38. Kernel polynomials in linear algebra and their numerical applications
39. Recherches sur les fractions continues
40. Linear transformations in Hilbert space
41. Sur les valeurs limites des intégrales
42. A criterion for arcsine distribution
43. On the regular behavior of orthogonal polynomials
44. Compact Jacobi matrices: From Stieltjes to Krein and M(a,b)
45. Asymptotics for orthogonal polynomials