On Euler's attempt to compute logarithms by interpolation: A commentary to his letter of February 16, 1734 to Daniel Bernoulli

Journal of Computational and Applied Mathematics

Volumn 219, Issue 2, 2008, Pages 408-415

  Gautschi, Walter ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

Euler's correspondence with Daniel Bernoulli; Interpolation series for the logarithm; q analogue of the logarithm

Indexed keywords

ALGEBRA; HELIUM;

BERNOULLI; FUNCTION THEORY;

INTERPOLATION;

EID: 46749119430     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2006.11.027     Document Type: Article

References (6)

1. Andrews G.E., Askey R., and Roy R. Special functions, Encyclopedia of Mathematics and its Applications vol. 71 (1999), Cambridge University Press, Cambridge
2. G. Eneström, Bib. Math. 7(3) 1906-1907, 134-137.
3. L. Euler, Consideratio quarumdam serierum quae singularibus proprietatibus sunt praeditae, Novi Comment. Acad. Sci. Petropolitanae 3 (1750/51) 1753, 10-12, 86-108. (Also in Leonhardi Euleri Opera Omnia, Ser. I, vol. 14, pp. 516-541, B.G. Teubner, Leipzig and Berlin, 1925. An English translation of this memoir can be downloaded from the E190 page of the Euler Archive at http://www.math.dartmouth.edu/∼euler.)
4. Gautschi W. Numerical Analysis: An Introduction (1997), Birkhäuser, Boston, MA
5. E. Koelink, W. Van Assche, Leonhard Euler and a q-analogue of the logarithm, in preparation.
6. Muller J.M. Elementary Functions: Algorithms and Implementation. second ed. (2006), Birkhäuser, Boston, MA