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Properties of the Zeros of the Polynomials Belonging to the Askey Scheme |
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| Authors: | Oksana Bihun Francesco Calogero |
| Institution: | 1. Department of Mathematics, Concordia College, Moorhead, MN, USA 2. Physics Department, University of Rome “La Sapienza”, Rome, Italy 3. Istituto Nazionale di Fisica Nucleare, Sezione di Roma, Rome, Italy |
| Abstract: | In this paper, we provide properties—which are, to the best of our knowledge, new—of the zeros of the polynomials belonging to the Askey scheme. These findings include Diophantine relations satisfied by these zeros when the parameters characterizing these polynomials are appropriately restricted. |
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