Additive blending of local approximations into a globally-valid approximation with application to the dilogarithm

Applied Mathematics Letters

Volumn 14, Issue 4, 2001, Pages 477-481

  Boyd, J P ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Dilogarithm; Global approximations

Indexed keywords

EID: 0035340436     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(00)00180-4     Document Type: Article

References (9)

1. Lewin L. Dilogarithms and Associated Functions. 1958;McDonald, London.
2. Lee M.H. Polylogarithmic analysis of chemical potential and fluctuations in a D-dimensional free Fermi gas at low temperatures. J. Math. Phys. 36:1995;1217-1231.
3. Lee M.H. Equivalence of ideal gases in two dimensions and Landen's relations. Phys. Rev. E. 55:1995;1518-1520.
4. Abramowitz M., Stegun I.A. Handbook of Mathematical Functions. 1965;Dover, New York.
5. G.-Y. Chen and J.P. Boyd, Analytical and numerical studies of weakly nonlocal solitary waves of the Rotation-modified Korteweg-deVries equation, Physica D, (submitted).
6. Ginsberg E.S., Zabrowski D. The dilogarithm function of a real argument. Comm. ACM. 18:1975;200-202.
7. Morris R. The dilogarithm function of a real argument. Math. Comput. 33:1979;778-787.
8. Osácar C., Palacián J., Palacios M. Numerical evaluation of the dilogarithm of complex argument. Celestial Mechanics and Dynamical Astronomy. 62:1995;93-98.
9. Boyd J.P. Global approximations to the principal real-valued branch of the Lambert W-function. Appl. Math. Lett. 11:(6):1998;27-31.