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 | References | Similar Articles | Additional Information

Abstract: Polynomials orthogonal on with regard to the weight function 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.

**[1]**W. M. Harper,*Quadrature formulas for infinite integrals*, Math. Comp.**16**(1962), 170–175. MR**0145656**, 10.1090/S0025-5718-1962-0145656-0**[2]**F. B. Hildebrand,*Introduction to numerical analysis*, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1956. MR**0075670****[3]**A. H. Stroud and Don Secrest,*Gaussian quadrature formulas*, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1966. MR**0202312****[4]**Gabor Szegö,*Orthogonal polynomials*, American Mathematical Society Colloquium Publications, Vol. 23. Revised ed, American Mathematical Society, Providence, R.I., 1959. MR**0106295**

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DOI:
https://doi.org/10.1090/S0025-5718-1974-0343549-5

Keywords:
Orthogonal polynomials,
weight function,
recurrence relation,
quadrature formula,
weight coefficients,
error

Article copyright:
© Copyright 1974
American Mathematical Society