Abstract
A numerical algorithm to evaluate the dilogarithmic function of a complex argument is proposed. The use of the dilogarithm in celestial mechanics appears in the exact Delaunay normalization of some functions involving the equation of the centre.
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References
Abramowitz, M. and Stegun, I. A.: 1985,Handbook of Mathematical Functions, Dover Publications Inc, New York.
Burden, R. L. and Faires, J. D.: 1993,Numerical Analysis, PWS-KENT Publishing Company, Boston.
Ginsberg, E. S. and Zaborowski, D.: 1973 The Dilogarithm Function of a Real Argument,Collected Algorithms from CACM 490, 1–0.
Lewin, L.: 1958,Dilogarithms and Associated Functions, Macdonald Ed., London.
Osácar, C. and Palacián, J.: 1994,Celes. Mech & Dynam. Astron. 60, 207.
Rall, K. and Jones, L.: 1992,Language Systems, FORTRAN 3.0, Reference Manual, Language Systems Corporation, Herndon, VA.
Van Wijngaarden, A.: 1954,Polylogarithms, by the Staff of the Computation Department, Report R. 24, Part I, Numerical Values, Mathematisch Centrum, Amsterdam, Holland.
Wolfram, S.: 1991,Mathematica. A System for Doing Mathematics by Computer, Second edition. Addison-Wesley Publishing Company, Inc., Redwood City, CA.
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Osácar, C., Palacián, J. & Palacios, M. Numerical evaluation of the dilogarithm of complex argument. Celestial Mech Dyn Astr 62, 93–98 (1995). https://doi.org/10.1007/BF00692071
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DOI: https://doi.org/10.1007/BF00692071