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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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Quadrature formulas for semi-infinite integrals
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by Ravindra Kumar and M. K. Jain PDF
Math. Comp. 28 (1974), 499-503 Request permission


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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Additional Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Math. Comp. 28 (1974), 499-503
  • MSC: Primary 65D30
  • DOI:
  • MathSciNet review: 0343549