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Mathematics of Computation

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Anomalous convergence of a continued fraction for ratios of Kummer functions


Author: Walter Gautschi
Journal: Math. Comp. 31 (1977), 994-999
MSC: Primary 30A22; Secondary 65B99
DOI: https://doi.org/10.1090/S0025-5718-1977-0442204-3
MathSciNet review: 0442204
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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.


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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1977-0442204-3
Keywords: Continued fractions, apparent convergence to the wrong limit, Bessel functions, incomplete gamma functions
Article copyright: © Copyright 1977 American Mathematical Society