This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Baltus, Christopher and William B. Jones, A family of best value regions for modified continued fractions, this Volume.
Faddeeva, V.N. and N.N. Terent'ev, Tables of values of the function \(w\left( z \right) = e^{z^2 } [1 + \frac{{2i}}{{\sqrt \pi }}\int\limits_0^z {e^{t^2 } dt]}\)for complex argument, Gosud. Izdat. Teh.-Teor. Lit., Moscow, 1954; English transl., Pergamon Press, New York, 1961.
Gautschi, Walter, Efficient computation of the complex error function, SIAM J. Numer. Anal. 7(1970), 187–198.
Henrici, P. and Pia Pfluger, Truncation error estimates for Stieltjes fractions, Numer. Math. 9 (1966), 120–138.
Jacobsen, Lisa, William B. Jones and Haakon Waadeland, Convergence acceleration for continued fractions K(an/1), where an → ∞, Proceedings of a Conference on Rational Approximation and Its Applications to Theoretical Physics, (Lancut, Poland, July 1–4, 1985), Lecture Notes in Mathematics, Springer-Verlag, New York, to appear.
Jones, William B. and W. J. Thron, Continued Fractions: Analytic Theory and Applications, Encyclopedia of Mathematics and its Applications, 11, Addison-Wesley Publishing Company, Reading, Mass. (1980). Distributed now by Cambridge University Press, New York.
Jones, William B. and W. J. Thron, On the computation of incomplete gamma functions in the complex domain, J. Comp. and Applied Math. 12 and 13 (1985), 401–417.
Thron, W. J., On parabolic convergence regions for continued fractions, Math Zeitschr. 69 (1958), 173–182.
Thron, W. J., A priori truncation error estimates for Stieltjes fractions, in E. B. Christoffel (Ed., P.L. Butzer and F. Fehér) Aachen Birkhäuser Verlag, Basel, (1981), 203–211.
Thron, W. J. and Haakon Waadeland, Accelerating convergence of limit periodic continued fractions K(an/1), Numer. Math. 34, (1980), 155–170.
Wynn, P., Converging factors for continued fractions, Number. Math. 1 (1959), 272–320.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1986 Springer-Verlag
About this paper
Cite this paper
Jacobsen, L., Jones, W.B., Waadeland, H. (1986). Further results on the computation of incomplete gamma functions. In: Thron, W.J. (eds) Analytic Theory of Continued Fractions II. Lecture Notes in Mathematics, vol 1199. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0075936
Download citation
DOI: https://doi.org/10.1007/BFb0075936
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-16768-6
Online ISBN: 978-3-540-38817-3
eBook Packages: Springer Book Archive