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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 17 (1994), Issue 2, Pages 217-226
doi:10.1155/S0161171294000335

On some regular and singular problems of Birkhoff interpolation

N. Jhunjhunwala and J. Prasad

Department of Mathematics, California State University, Los Angeles 90032, CA, USA

Abstract

Here we investigate the pure (0,1,…,r−2,r)-interpolation problem on the zeros of (1−x2)Pn(α)(x)=(1−x2)Pn(α,α)(x), α>−1, where Pn(α,α)(x) is the Jacobi polynomial of degree n with β=α.