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- W2081883670 abstract "We define the notion of transient (geometric) convergence rate for infinite series and continued fractions. For a class of continued fractions with real elements we prove a monotonicity property for such convergence rates which helps explain the effectiveness of certain continued fractions known to converge only sublinearly. This is illustrated in the case of Legendre's continued fraction for the incomplete gamma function." @default.
- W2081883670 created "2016-06-24" @default.
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- W2081883670 date "1983-01-01" @default.
- W2081883670 modified "2023-09-24" @default.
- W2081883670 title "On the convergence behavior of continued fractions with real elements" @default.
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- W2081883670 doi "https://doi.org/10.1090/s0025-5718-1983-0679450-2" @default.
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