| Full text | |
| Author(s): |
Suni, M. Hancco
;
Marcato, G. A.
;
Marcellan, F.
;
Ranga, A. Sri
Total Authors: 4
|
| Document type: | Journal article |
| Source: | Journal of Mathematical Analysis and Applications; v. 525, n. 1, p. 32-pg., 2023-02-26. |
| Abstract | |
Given a pair of quasi-definite moment functionals {v0, v1} we introduce the concept of coherence of the second kind in terms of an algebraic relation that the corresponding sequences of orthogonal polynomials satisfy. We characterize such moment functionals and give some illustrative examples taking into account they are semiclassical of class at most one. The relation between the corresponding monic Jacobi matrices is stated. For a pair of moment functionals satisfying the coherence property of the second kind, a Sobolev inner product is introduced. The connection formulas between the sequence of monic orthogonal polynomials associated with such a Sobolev inner product and the sequence of monic polynomials orthogonal with respect to the moment functional v0 are given.(c) 2023 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 20/14244-2 - Orthogonal polynomials and related studies |
| Grantee: | Alagacone Sri Ranga |
| Support Opportunities: | Regular Research Grants |