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
Erratum: Math. Comp. 56 (1991), 407.
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.References
- W. M. Harper, Quadrature formulas for infinite integrals, Math. Comp. 16 (1962), 170–175. MR 145656, DOI 10.1090/S0025-5718-1962-0145656-0
- F. B. Hildebrand, Introduction to numerical analysis, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1956. MR 0075670
- A. H. Stroud and Don Secrest, Gaussian quadrature formulas, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1966. MR 0202312
- Gabor Szegö, Orthogonal polynomials, American Mathematical Society Colloquium Publications, Vol. 23, American Mathematical Society, Providence, R.I., 1959. Revised ed. MR 0106295
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Math. Comp. 28 (1974), 499-503
- MSC: Primary 65D30
- DOI: https://doi.org/10.1090/S0025-5718-1974-0343549-5
- MathSciNet review: 0343549