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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

Quadrature formulas for semi-infinite integrals

Authors: Ravindra Kumar and M. K. Jain
Journal: Math. Comp. 28 (1974), 499-503
MSC: Primary 65D30
Erratum: Math. Comp. 56 (1991), 407.
MathSciNet review: 0343549
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Abstract: Polynomials orthogonal on $ [0,\infty ]$ with regard to the weight function $ w(x) = {x^\alpha }{(1 + x)^{ - \beta }}$ are obtained, recurrence relations are found and the differential equation, which is satisfied by them, is given. Formulas for weights and abscissas in the corresponding quadrature formula are given.

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PII: S 0025-5718(1974)0343549-5
Keywords: Orthogonal polynomials, weight function, recurrence relation, quadrature formula, weight coefficients, error
Article copyright: © Copyright 1974 American Mathematical Society