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modified Bessel function

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The modified Bessel function of the first kind is implemented in the Wolfram Language as BesselI[nu, z]. where the contour encloses the origin and is traversed in a counterclockwise direction (Arfken 1985, p. 416). (Abramowitz and Stegun 1972, p.
2.1 Bessel functions of the first kind: J 2.1.1 Bessel's integrals · 2.2 Bessel functions of the second kind: Y · 2.3 Hankel functions: Hα, H · 2.4 Modified ...
作者:EW Weisstein2002被引用次数:21 — which is one of the solutions to the modified Bessel differential equation. The modified Bessel functions of the second kind are sometimes called the Basset ...

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Chapter 10 Bessel Functions · Notation. 10.1 Special Notation · Bessel and Hankel Functions. 10.2 Definitions · 10.3 Graphics · 10.4 Connection Formulas · 10.5 ...
These functions are solutions of the frequently encountered modified Bessel equation, which arises in a variety of physically important problems,. •. Kν(x) will ...
to as a modified Bessel function of the first kind. b) Second Kind: Kν(x) in the solution to the modified Bessel's equation is re- ferred to as a modified ...
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Modified Bessel Function of the First Kind · \begin{displaymath} I_n(x) \equiv i^{-n · \begin{displaymath} I_\nu(z)=({\textstyle ...
Modified Bessel equation. It can be reduced to the Bessel equation by means of the substitution x = i¯x, where i2 = −1. Solution: y = C1Iν(x) + C2Kν(x),.
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