Anomalous convergence of a continued fraction for ratios of Kummer functions-Reference-Cited by-同舟云学术

Anomalous convergence of a continued fraction for ratios of Kummer functions

Published:1977 Issue:140 Volume:31 Page:994-999
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Gautschi Walter

Abstract

We exhibit a phenomenon of apparent convergence to the wrong limit in connection with a continued fraction of Perron for ratios of Kummer functions. The phenomenon is further illustrated in the special cases of Bessel functions and incomplete gamma functions.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1977-31-140/S0025-5718-1977-0442204-3/S0025-5718-1977-0442204-3.pdf

Reference6 articles.

1. A computational procedure for incomplete gamma functions;Gautschi, Walter;Rend. Sem. Mat. Univ. Politec. Torino,1979

2. On the computation of modified Bessel function ratios;Gautschi, Walter;Math. Comp.,1978

3. Analysis of truncation error of approximations based on the Padé table and continued fractions;Jones, William B.;Rocky Mountain J. Math.,1974

4. National Bureau of Standards Applied Mathematics Series, No. 55;Abramowitz, Milton,1964

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