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Anomalous convergence of a continued fraction for ratios of Kummer functions

  • Gautschi W
Mathematics of Computation (1977) 31(140) 994-999
DOI: 10.1090/s0025-5718-1977-0442204-3
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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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Gautschi, W. (1977). Anomalous convergence of a continued fraction for ratios of Kummer functions. Mathematics of Computation, 31(140), 994–999. https://doi.org/10.1090/s0025-5718-1977-0442204-3

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