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On a set of orthogonal polynomials associated with a quantized physical model |
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| Authors: | Kai-Yong Wang Guo-Fu Yu |
| Affiliation: | a Department of Information and Computational Science, School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou 215009, PR China b Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, PR China c Department of Mathematics, Southeast University, Nanjing, Jiangsu 210096, PR China |
| Abstract: | In this paper we investigate a set of orthogonal polynomials. We relate the polynomials to the Biconfluent Heun equation and present an explicit expression for the polynomials in terms of the classical Hermite polynomials. The orthogonality with a varying measure and the recurrence relation are also presented. |
| Keywords: | Biconfluent Heun equation Hermite polynomials Quasi-orthogonal polynomials |
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