On the Atkin Polynomials
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polynomialsatkinorthogonaladvantageassociatedasymptoticsco-recursiveestablish
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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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