Summary
A priori truncation error bounds are obtained for continued fractions of the formK(1/b n),b n complex. The error bounds are easily applied to the case whenb n→0 asn→∞. A numerical example involving the complex error function is given.
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References
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Field, D.A. Error bounds for continued fractionsK(1/b n). Numer. Math. 29, 261–267 (1978). https://doi.org/10.1007/BF01389211
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DOI: https://doi.org/10.1007/BF01389211