Chebyshev polynomial expansion of Bose-Einstein functions of orders to

Authors:
Edward W. Ng, C. J. Devine and R. F. Tooper

Journal:
Math. Comp. **23** (1969), 639-643

MSC:
Primary 65.25

DOI:
https://doi.org/10.1090/S0025-5718-1969-0247739-X

MathSciNet review:
0247739

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Abstract: Chebyshev series approximations are given for the complete Bose-Einstein functions of orders 1 to 10. This paper also gives an exhaustive presentation of the relation of this function to other functions, with the emphasis that some Fermi-Dirac functions and polylogarithms are readily computable from the given approximations. The coefficients are given in 21 significant figures and the maximal relative error for function representation ranges from to . These expansions are fast convergent; for example, typically six terms gives an accuracy of .

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DOI:
https://doi.org/10.1090/S0025-5718-1969-0247739-X

Article copyright:
© Copyright 1969
American Mathematical Society