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Florian Rappl edited this page Dec 21, 2014 · 2 revisions

bessel

In mathematics, Bessel functions, first defined by the mathematician Daniel Bernoulli and generalized by Friedrich Bessel, are canonical solutions y(x) of Bessel's differential equation. This function represents Bessel functions of the first kind with the given order.

bessel(order,argument)

Computes the Bessel function of an arbitrary order for the given argument and returns the function's value.

Argument order

Scalar

Argument argument

Scalar

Returns 1. entry

Scalar

Example

bessel(3, 0.4)

Computes the Bessel function of the first kind with order 3 for the argument 0.4 and returns a scalar with the computed value.

bessel(order,argument)

Computes the Bessel function of an arbitrary order for the given arguments. The return matrix has the same dimensions as the input matrix.

Argument order

Scalar

Argument argument

Matrix

Returns 1. entry

Matrix

Example

bessel(3, [0, 1, 2, 3, 4])

Computes the Bessel function of the first kind with order 3 for the arguments 0, 1, 2, 3 and 4. Returns a matrix (vector) with the computed values.

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