ON THE ATKIN POLYNOMIALS
Abbreviated Journal Title
Pac. J. Math.
associated Jacobi polynomials; asymptotics; weight functions; scaled; invariant; modular function; birth and death process polynomials; supersingular polynomials; Hecke operators; Mathematics
We identify the Atkin polynomials in terms of associated Jacobi polynomials. Our identification then takes advantage of the theory of orthogonal polynomials and their asymptotics to establish many new properties of the Atkin polynomials. This shows that corecursive polynomials may lead to interesting sets of orthogonal polynomials.
Pacific Journal of Mathematics
"ON THE ATKIN POLYNOMIALS" (2014). Faculty Bibliography 2010s. 5298.