@article{oai:soar-ir.repo.nii.ac.jp:00011678, author = {Odake, Satoru and Sasaki, Ryu}, issue = {7}, journal = {Journal of Mathematical Physics}, month = {Jul}, note = {Several kinds of q-orthogonal polynomials with |q|=1 are constructed as the main parts of the eigenfunctions of new solvable discrete quantum mechanical systems. Their orthogonality weight functions consist of quantum dilogarithm functions, which are a natural extension of the Euler gamma functions and the q-gamma functions (q-shifted factorials). The dimensions of the orthogonal spaces are finite. These q-orthogonal polynomials are expressed in terms of the Askey-Wilson polynomials and their certain limit forms., Article, Journal of Mathematical Physics,56(7):073502 2015}, title = {Solvable discrete quantum mechanics: q-orthogonal polynomials with |q|=1 and quantum dilogarithm}, volume = {56}, year = {2015} }