Computing the Hilbert transform of the generalized Laguerre and Hermite weight functions

BIT Numerical Mathematics

Volumn 41, Issue 3, 2001, Pages 490-503

  Gautschi, Walter ^a   Waldvogel, Jörg ^b  

^a Purdue University   (United States)

^b ETH ZURICH   (Switzerland)

Author keywords

Classical weight functions; Computational methods; Hilbert transform

Indexed keywords

EID: 0042696138     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021915128433     Document Type: Article

References (11)

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3. W. J. Cody, K. A. Paciorek, and H. C. Thacher, Jr., Chebyshev approximations for Dawson's integral, Math. Comp., 24 (1970), pp. 171-178.
4. P. J. Davis and P. Rabinowitz, Methods of Numerical Integration, 2nd ed., Academic Press, Orlando, FL, 1984.
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6. W. Gautschi, The computation of special functions by linear difference equations, in Advances in Difference Equations, S. Elaydi, I. Gyori, and G. Ladas, eds., Gordon & Breach, Amsterdam, 1997, pp. 213-243.
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8. P. Henrici, Applied and Computational Complex Analysis, Vol. 3: Discrete Fourier Analysis - Cauchy Integrals - Construction of Conformal Maps - Univalent Functions, Wiley, New York, 1986. [Also: Wiley Classics Library Edition, 1993.]
9. K. A. Paciorek, Algorithm 385 - Exponential integral Ei(x), Comm. ACM, 13 (1970), pp. 446-447. Certification and Remarks, ibid., pp. 448-449, 15 (1972), p. 1074.
10. K. A. Paciorek, Algorithm 385 - Exponential integral Ei(x), Comm. ACM, 13 (1970), pp. 446-447. Certification and Remarks, ibid., pp. 448-449, 15 (1972), p. 1074.
11. K. A. Paciorek, Algorithm 385 - Exponential integral Ei(x), Comm. ACM, 13 (1970), pp. 446-447. Certification and Remarks, ibid., pp. 448-449, 15 (1972), p. 1074.