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arXiv · 1309.2123

On the Atkin Polynomials

Ahmad El-Guindy·Mourad E. H. Ismail
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Abstract

We identify the Atkin polynomials in terms of associated Jacobi polynomials. Our identificationthen takes advantage of the theory of orthogonal polynomials and their asymptotics to establish many new properties of the Atkin polynomials. This shows that co-recursive polynomials may lead to interesting sets of orthogonal polynomials.

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Ahmad El-Guindy, Mourad E. H. Ismail. 2013-09-09. On the Atkin Polynomials. https://doi.org/10.2140/pjm.2014.272.111

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