This paper deals with Hermite Pade polynomials in the case where the multiple orthogonality condition is related to semiclassical functionals. The polynomials, introduced in such a way, are a generalization of classical orthogonal polynomials (Jacobi, Laguerre, Hermite, and Bessel polynomials). They
Systems of orthogonal polynomials explicitly represented by the Jacobi polynomials
β Scribed by V. M. Badkov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1987
- Tongue
- English
- Weight
- 377 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0001-4346
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π SIMILAR VOLUMES
Orthogonal polynomials on the real line always satisfy a three-term recurrence relation. The recurrence coefficients determine a tridiagonal semi-infinite matrix (Jacobi matrix) which uniquely characterizes the orthogonal polynomials. We investigate new orthogonal polynomials by adding to the Jacobi
The purpose of this paper is to study how the exlremal zeros of a family of orthogonal polynomials evolve when we perturb the coefficient of the recurrence relation defining the family. To this end we shall compare the extremal zeros with the corresponding zeros in the perturbed ease.