Difference between revisions of "Bessel Functions"
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Bessel Functions are used in engineering models to describe harmonic vibrations in cylindrical systems, such as electromagnetic waves in a cylindrical waveguide, sound vibrations in a circular membrane, or heat conduction in a cylindrical object. Analytica 4.1 exposes the following Bessel functions: | Bessel Functions are used in engineering models to describe harmonic vibrations in cylindrical systems, such as electromagnetic waves in a cylindrical waveguide, sound vibrations in a circular membrane, or heat conduction in a cylindrical object. Analytica 4.1 exposes the following Bessel functions: | ||
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Revision as of 18:18, 11 April 2013
Available for use in Analytica 4.1 and higher
Bessel Functions are used in engineering models to describe harmonic vibrations in cylindrical systems, such as electromagnetic waves in a cylindrical waveguide, sound vibrations in a circular membrane, or heat conduction in a cylindrical object. Analytica 4.1 exposes the following Bessel functions:
- BesselJ(x,n): Bessel function of the first kind
- BesselY(x,n): Bessel function of the second kind
- BesselI(x,n): Modified Bessel function of the first kind
- BesselJ(x,n): Modified Bessel function of the second kind
In each case, n is the order of the Bessel function and can be zero or greater. Analytica will compute these Bessel functions with non-integer when x is non-negative. A Bessel function applied to a negative value of x when n in non-integer would result in a complex number -- in Analytica, a warning results and NaN is returned.
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Advanced math
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