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Asymptotic formulae of Mehler–Heine-type for certain classical polyorthogonal polynomials |
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| Authors: | Tomohiro Takata |
| Affiliation: | Department of Mathematics, Kyoto University, Sakyo-ku, Kyoto 606-8502, Japan |
| Abstract: | The purpose of this article is to give some asymptotic formulae of polyorthogonal polynomials with respect to some classical measures. The formulae are analogous to the Mehler–Heine formulae for Jacobi and Laguerre polynomials. |
| Keywords: | Orthogonal polynomials Polyorthogonal polynomials Multiple orthogonal polynomials Mehler– Heine-type formulae |
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