Expansion of Dawson's function in a series of Chebyshev polynomials

Author:
David G. Hummer

Journal:
Math. Comp. **18** (1964), 317-319

MSC:
Primary 65.25

DOI:
https://doi.org/10.1090/S0025-5718-1964-0165687-6

MathSciNet review:
0165687

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**[1]**D. Harris III, ``On the line-absorption coefficient due to Doppler effect and damping,''*Astrophys. J.*, v. 108, 1948, p. 112-115.**[2]**D. G. Hummer, ``Noncoherent scattering. I. The redistribution functions with Doppler broadening,''*Monthly Notices Roy. Astronom. Soc.*, v. 125, 1963, p. 21-37.**[3]**W. L. Miller & A. R. Gordon, ``Numerical evaluation of infinite series and integrals which arise in certain problems of linear heat flow, electrochemical diffusion, etc.,''*J. Chem. Phys.*, v. 35, 1935, p. 2785-2884.**[4]**J. B. Rosser,*Theory and Application of**and*, Mapleton House, Brooklyn, N. Y., 1948. MR**0027176 (10:267e)****[5]**B. Lohmander & S. Rittsten, ``Tables of the function ,''*Kungl. Fysiogr. Sällsk. i Lund Förh.*, v. 28, 1958, p. 45-52. MR**0094919 (20:1427)****[6]**H. M. Terrill & L. Sweeny, ``An extension of Dawson's table of the integral of ,''*J. Franklin Inst.*, v. 237, 1944, p. 495-497; ``Table of the integral of ,''*ibid.*, v. 238, 1944, p. 220-222.**[7]**National Physical Laboratory,*Modern Computing Methods*, 2nd edition, H. M. Stationery Office, London, 1961. MR**0117863 (22:8637)****[8]**C. W. Clenshaw, ``A note on the summation of Chebyshev series,''*MTAC*, v. 9, 1955, p. 118-120; see also [7], Chapter 8. MR**0071856 (17:194e)**

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DOI:
https://doi.org/10.1090/S0025-5718-1964-0165687-6

Article copyright:
© Copyright 1964
American Mathematical Society