Uniform asymptotic expansions of the Jacobi polynomials and an associated function

1971/01/01 by David Elliott · 3 citations
Mathematics · #Mathematical functions and polynomials

paper · doi:10.1090/s0025-5718-1971-0294737-5

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.

Cited by

• A Unified Approach to Quadrature Rules with Asymptotic Estimates of Their Remainders
• Non-iterative computation of Gauss-Jacobi quadrature
• On Exponential Convergence of Gegenbauer Interpolation and Spectral Differentiation

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