@article{oai:soar-ir.repo.nii.ac.jp:00019822, author = {Odake, Satoru and Sasaki, Ryu}, journal = {SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS}, month = {Jan}, note = {The multi-indexed Laguerre and Jacobi polynomials form a complete set of orthogonal polynomials. They satisfy second-order differential equations but not three term recurrence relations, because of the 'holes' in their degrees. The multi-indexed Laguerre and Jacobi polynomials have Wronskian expressions originating from multiple Darboux transformations. For the ease of applications, two different forms of simplified expressions of the multi-indexed Laguerre and Jacobi polynomials are derived based on various identities. The parity transformation property of the multi-indexed Jacobi polynomials is derived based on that of the Jacobi polynomial., Article, SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS. 13(0):020 (2017)}, title = {Simplified Expressions of the Multi-Indexed Laguerre and Jacobi Polynomials}, volume = {13}, year = {2017} }