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A NOTE ON BESSEL FUNCTIONS AND CONTINUED FRACTIONS
NAVAL ORDNANCE LAB WHITE OAK MD
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An identity, relating a certain infinite continued fraction to the ratio of two contiguous Bessel functions, is exploited to derive the representation of a single Bessel function in terms of a series of products of continued fractions. This representation is made the basis of a new method for computing numerically Bessel functions of the first kind. The method is seen to be especially valuable in computing Bessel functions of order much larger tan unity.
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