Anomalous convergence of a continued fraction for ratios of Kummer functions

Gautschi, Walter

doi:10.1090/S0025-5718-1977-0442204-3

Anomalous convergence of a continued fraction for ratios of Kummer functions
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Math. Comp. 31 (1977), 994-999 Request permission

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.

References

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