http://swrc.ontoware.org/ontology#Article
Dual Christoffel Transformations
en
Odake Satoru
Sasaki Ryu
PROGRESS THEORETICAL PHYSICS PUBLICATION OFFICE
PROGRESS OF THEORETICAL PHYSICS. 126(1):1-34 (2011)
PROGRESS OF THEORETICAL PHYSICS
126
1
1-34
2011-07
Crum's theorem and its modification a la Krein-Adler are formulated for the discrete quantum mechanics with real shifts, whose eigenfunctions consist of orthogonal polynomials of a discrete variable. The modification produces the associated polynomials with a finite number of degrees deleted. This in turn provides the well known Christoffel transformation for the dual orthogonal polynomials with the corresponding positions deleted.
Article
0033-068X
AA00791455
http://dx.doi.org/10.1143/PTP.126.1|10.1143/PTP.126.1