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Zbl 0963.33002
Petropoulou, E.
Bounds for ratios of modified Bessel functions.
(English)
[J] Integral Transforms Spec. Funct. 9, No.4, 293-298 (2000). ISSN 1065-2469; ISSN 1476-8291/e

The author presents an algorithm for calculating bounds for the ratio $(I_{\nu+1} (x)/I_\nu (x))$ for $\nu>-1$ and $x>0$ using the theory of continued fractions. The author finds a sequence of lower and upper bounds which are more effective and simple compared with other known bounds.
[Ismail Taqi Ali (Safat)]
MSC 2000:
*33C10 Cylinder functions, etc.
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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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