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An Integral Representation for the Modified Bessel Function of the Third Kind, Computable for Large, Imaginary Order

✍ Scribed by James D. Lear and James E. Sturm

Book ID
120644077
Publisher
American Mathematical Society
Year
1967
Tongue
English
Weight
134 KB
Volume
21
Category
Article
ISSN
0025-5718

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✍ Amparo Gil; Javier Segura; Nico M. Temme πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 143 KB

The evaluation of the modified Bessel function of the third kind of purely imaginary order K ia (x) is discussed; we also present analogous results for the derivative. The methods are based on the use of Maclaurin series, nonoscillatory integral representations, asymptotic expansions, and a continue