@article{oai:soar-ir.repo.nii.ac.jp:00011715,
 author = {Odake,  Satoru},
 issue = {1},
 journal = {JOURNAL OF MATHEMATICAL PHYSICS},
 month = {Jan},
 note = {Multi-indexed orthogonal polynomials describe eigenfunctions of exactly solvable shape-invariant quantum mechanical systems in one dimension obtained by the method of virtual states deletion. Multi-indexed orthogonal polynomials are labeled by a set of degrees of polynomial parts of virtual state wavefunctions. For multi-indexed orthogonal polynomials of Laguerre, Jacobi, Wilson, and Askey-Wilson types, two different index sets may give equivalent multi-indexed orthogonal polynomials. We clarify these equivalences. Multi-indexed orthogonal polynomials with both type I and II indices are proportional to those of type I indices only (or type II indices only) with shifted parameters., Article, JOURNAL OF MATHEMATICAL PHYSICS. 55(1):013502 (2014)},
 title = {Equivalences of the multi-indexed orthogonal polynomials},
 volume = {55},
 year = {2014}
}