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2022-12-14T04:00:20Z
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Dual Christoffel Transformations
Odake, Satoru
Sasaki, Ryu
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
PROGRESS OF THEORETICAL PHYSICS. 126(1):1-34 (2011)
PROGRESS THEORETICAL PHYSICS PUBLICATION OFFICE
2011-07
eng
journal article
VoR
http://hdl.handle.net/10091/17229
https://soar-ir.repo.nii.ac.jp/records/11741
https://doi.org/10.1143/PTP.126.1
10.1143/PTP.126.1
0033-068X
AA00791455
PROGRESS OF THEORETICAL PHYSICS
126
1
1
34
https://soar-ir.repo.nii.ac.jp/record/11741/files/Dual_Christoffel_Transformations.pdf
application/pdf
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2015-09-28