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Uniform Asymptotic Expansions of the Jacobi Polynomials and an Associated Function

David Elliott
Mathematics of Computation
Vol. 25, No. 114 (Apr., 1971), pp. 309-315
DOI: 10.2307/2004926
Stable URL: http://www.jstor.org/stable/2004926
Page Count: 7
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Uniform Asymptotic Expansions of the Jacobi Polynomials and an Associated Function
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Abstract

Asymptotic expansions have been obtained using two theorems due to Olver for the Jacobi polynomials and an associated function. These expansions are uniformly valid for complex arguments over certain regions, for large values of the order.

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