Asymptotic Properties of Derivatives of the Stieltjes Polynomials

Hee Sun Jung and Ryozi Sakai

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

Abstract: Let wλ(x):=(1−x2)λ−12/ and Pλ,n(x) be the ultraspherical polynomials with respect to wλ(x). Then, we denote the Stieltjes polynomials with respect to wλ(x) by Eλ,n+1(x) satisfying ∫−11wλ(x)Pλ,n(x)Eλ,n+1(x)xmdx=0, 0 ≤ m

Date: 2012
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