Asymptotic Expansions of Jacobi Polynomials for Large Values of $β$ and of Their Zeros

Published 18 Apr 2018 in math.CA | (1804.06749v4)

Abstract: Asymptotic approximations of Jacobi polynomials are given for large values of the $\beta$-parameter and of their zeros. The expansions are given in terms of Laguerre polynomials and of their zeros. The levels of accuracy of the approximations are verified by numerical examples.

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