@article{oai:soar-ir.repo.nii.ac.jp:00019821, author = {Odake, Satoru}, issue = {11}, journal = {JOURNAL OF MATHEMATICAL PHYSICS}, month = {Nov}, note = {We consider the exactly solvable quantum mechanical systems whose eigenfunctions are described by the multi-indexed orthogonal polynomials of Laguerre, Jacobi, Wilson, and Askey-Wilson types. Corresponding to the recurrence relations with constant coefficients for the M-indexed orthogonal polynomials, it is expected that the systems satisfy the generalized closure relations. In fact we can verify this statement for small M examples. The generalized closure relation gives the exact Heisenberg operator solution of a certain operator, from which the creation and annihilation operators of the system are obtained. Published by AIP Publishing., Article, JOURNAL OF MATHEMATICAL PHYSICS. 57(11):113503 (2016)}, title = {Recurrence relations of the multi-indexed orthogonal polynomials. IV. Closure relations and creation/annihilation operators}, volume = {57}, year = {2016} }