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On the computation of Debye functions of integer orders


Authors: E. W. Ng and C. J. Devine
Journal: Math. Comp. 24 (1970), 405-407
MSC: Primary 65.25
MathSciNet review: 0272160
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Abstract: An efficient method is presented for the computation of Debye functions of integer orders to twenty significant decimal digits.


References [Enhancements On Off] (What's this?)

  • [1] Roger Howard and J. Grindlay, Tables of Debye functions, Canad. J. Phys. 44 (1966), 45–56. MR 0186308
  • [2] A. Fletcher, et al, An Index of Mathematical Tables. Vol. I: Introduction, Addison-Wesley, Reading, Mass., 1962, p. 543. MR 26 #365a.
  • [3] Y. L. Luke, The Special Functions and Their Approximations, Vol. 1 & 2, Academic Press, New York, 1968.
  • [4] Edward W. Ng, C. J. Devine, and R. F. Tooper, Table of Chebyshev polynomial expansions of Bose-Einstein functions of orders 1-10, Math. Comp. 23 (1969), no. 107, loose microfiche suppl., C1–D3. MR 0247740
  • [5] Milton Abramowitz and Irene A. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical tables, National Bureau of Standards Applied Mathematics Series, vol. 55, For sale by the Superintendent of Documents, U.S. Government Printing Office, Washington, D.C., 1964. MR 0167642

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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1970-0272160-6
Keywords: Debye functions, Riemann zeta functions, chemical physics
Article copyright: © Copyright 1970 American Mathematical Society