%0 Journal Article %1 Ng1969 %A Ng, Edward W. %A Devine, C. J. %A Tooper, R. F. %D 1969 %I American Mathematical Society %J Mathematics of Computation %K 1969 heat-capacity mathematics %N 107 %P 639--s30 %T Chebyshev Polynomial Expansion of Bose-Einstein Functions of Orders 1 to 10 %U http://www.jstor.org/stable/2004391 %V 23 %X 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 2 × 10^-20 to 3 × 10^-19. These expansions are fast convergent; for example, typically six terms gives an accuracy of 10^-8.

@article{Ng1969, 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 2 × 10^-20 to 3 × 10^-19. These expansions are fast convergent; for example, typically six terms gives an accuracy of 10^-8.}, added-at = {2011-01-19T18:07:05.000+0100}, author = {Ng, Edward W. and Devine, C. J. and Tooper, R. F.}, biburl = {https://www.bibsonomy.org/bibtex/2aff640e0b83dface260c50c331c63f47/thorade}, description = {JSTOR: Mathematics of Computation, Vol. 23, No. 107 (Jul., 1969), pp. 639-643+s14-s30}, interhash = {0ccd73e9e65a1347791151834338202a}, intrahash = {aff640e0b83dface260c50c331c63f47}, issn = {00255718}, journal = {Mathematics of Computation}, keywords = {1969 heat-capacity mathematics}, number = 107, pages = {639--s30}, publisher = {American Mathematical Society}, timestamp = {2011-01-19T18:07:05.000+0100}, title = {Chebyshev Polynomial Expansion of Bose-Einstein Functions of Orders 1 to 10}, url = {http://www.jstor.org/stable/2004391}, volume = 23, year = 1969 }