Chebyshev polynomial expansion of BoseEinstein functions of orders to
Authors:
Edward W. Ng, C. J. Devine and R. F. Tooper
Journal:
Math. Comp. 23 (1969), 639643
MSC:
Primary 65.25
MathSciNet review:
0247739
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Abstract: Chebyshev series approximations are given for the complete BoseEinstein 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 FermiDirac 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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Additional Information
DOI:
http://dx.doi.org/10.1090/S0025571819690247739X
PII:
S 00255718(1969)0247739X
Article copyright:
© Copyright 1969 American Mathematical Society
