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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

On the computation of modified Bessel function ratios


Authors: Walter Gautschi and Josef Slavik
Journal: Math. Comp. 32 (1978), 865-875
MSC: Primary 33A40
MathSciNet review: 0470267
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Abstract: A detailed comparison is made between a continued fraction of Gauss, and one of Perron, for the evaluation of ratios of modified Bessel functions $ {I_v}(x)/{I_{v - 1}}(x),x > 0$, $ v > 0$. It will be shown that Perron's continued fraction has remarkable advantages over Gauss' continued fraction, particularly when $ x > > v$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1978-0470267-9
PII: S 0025-5718(1978)0470267-9
Article copyright: © Copyright 1978 American Mathematical Society