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Some positive Cotes numbers for Jacobi abscissas

Published online by Cambridge University Press:  01 March 1998

WENGU CHEN  and
KUNYANG WANG
WENGU CHEN
Affiliation:
Department of Mathematics, Beijing Normal University, Beijing 100875, People's Republic of China
KUNYANG WANG
Affiliation:
Department of Mathematics, Beijing Normal University, Beijing 100875, People's Republic of China
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Abstract

Let P(α, β)n (x) be the Jacobi polynomials which are defined by

formula here

or given as hypergeometric series by

formula here

They satisfy the orthogonality relations

formula here

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 123 , Issue 2 , March 1998 , pp. 193 - 198
Copyright
Cambridge Philosophical Society 1998

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