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Some integrals relating to the $ I\sb{e}$-function

Author: Shigehiko Okui
Journal: Math. Comp. 41 (1983), 613-622
MSC: Primary 33A40; Secondary 94A05
MathSciNet review: 717707
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Abstract: Various integrals relating to the $ {I_e}$-function

$\displaystyle {I_e}(k,z) = \int_0^z {{e^{ - x}}{I_0}(kx)\;dx,} $

which finds a wide variety of applications in the fields of statistical communication theory and noise analysis, are evaluated in closed form.

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Article copyright: © Copyright 1983 American Mathematical Society