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An algebraic treatment of the Pastro polynomials on the real line.
- Source :
-
Proceedings of the American Mathematical Society . Oct2023, Vol. 151 Issue 10, p4405-4418. 14p. - Publication Year :
- 2023
-
Abstract
- The properties of the Pastro polynomials on the real line are studied with the help of a triplet of q-difference operators. The q-difference equation and recurrence relation these polynomials obey are shown to arise as generalized eigenvalue problems involving the triplet of operators, with the Pastro polynomials as solutions. Moreover, a discrete biorthogonality relation on the real line for the Pastro polynomials is obtained and is then understood using adjoint operators. The algebra realized by the triplet of q-difference operators is investigated. [ABSTRACT FROM AUTHOR]
- Subjects :
- *POLYNOMIALS
*BIORTHOGONAL systems
*ALGEBRA
*EQUATIONS
*EIGENVALUES
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 151
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 172022682
- Full Text :
- https://doi.org/10.1090/proc/16458