To the Theory of C{sub 0}-Operator Orthogonal Polynomials
Journal Article
·
· Journal of Mathematical Sciences
Operator orthogonal polynomials are considered whose arguments are generators of strongly continuous semigroups of transformations of class C{sub 0} acting in a Banach space. Earlier such polynomials were considered by the authors in the case of the Chebyshev polynomials of the first and second kind. In this paper, more general classes of operator orthogonal polynomials are considered, which include the Jacobi and Aptekarev polynomials. Integral representations of operator fractional-rational functions and also of Bessel operator-valued functions of an imaginary argument are presented.
- OSTI ID:
- 22773769
- Journal Information:
- Journal of Mathematical Sciences, Journal Name: Journal of Mathematical Sciences Journal Issue: 3 Vol. 234; ISSN JMTSEW; ISSN 1072-3374
- Country of Publication:
- United States
- Language:
- English
Similar Records
Orthogonal polynomials in the Lie algebras
Fifth-kind orthonormal Chebyshev polynomial solutions for fractional differential equations
Coherent orthogonal polynomials
Journal Article
·
Fri Oct 31 23:00:00 EST 1986
· Sov. Phys. J. (Engl. Transl.); (United States)
·
OSTI ID:5336428
Fifth-kind orthonormal Chebyshev polynomial solutions for fractional differential equations
Journal Article
·
Sun Jul 15 00:00:00 EDT 2018
· Computational and Applied Mathematics
·
OSTI ID:22769289
Coherent orthogonal polynomials
Journal Article
·
Thu Aug 15 00:00:00 EDT 2013
· Annals of Physics (New York)
·
OSTI ID:22220766