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Special Polynomials (Bessel) (G Dataflow)

Last Modified: March 15, 2017

Evaluates the Bessel polynomial of a given order.

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x

Real number.

Default: 0

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order

Nonnegative order of the Bessel polynomial.

Default: 0

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error in

Error conditions that occur before this node runs.

The node responds to this input according to standard error behavior.

Standard Error Behavior

Many nodes provide an error in input and an error out output so that the node can respond to and communicate errors that occur while code is running. The value of error in specifies whether an error occurred before the node runs. Most nodes respond to values of error in in a standard, predictable way.

error in does not contain an error error in contains an error
If no error occurred before the node runs, the node begins execution normally.

If no error occurs while the node runs, it returns no error. If an error does occur while the node runs, it returns that error information as error out.

If an error occurred before the node runs, the node does not execute. Instead, it returns the error in value as error out.

Default: No error

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Bessel polynomial

Bessel polynomial of order evaluated at x.

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error out

Error information.

The node produces this output according to standard error behavior.

Standard Error Behavior

Many nodes provide an error in input and an error out output so that the node can respond to and communicate errors that occur while code is running. The value of error in specifies whether an error occurred before the node runs. Most nodes respond to values of error in in a standard, predictable way.

error in does not contain an error error in contains an error
If no error occurred before the node runs, the node begins execution normally.

If no error occurs while the node runs, it returns no error. If an error does occur while the node runs, it returns that error information as error out.

If an error occurred before the node runs, the node does not execute. Instead, it returns the error in value as error out.

Algorithm for Evaluating the Bessel Polynomial

The following equation shows a recurrence relation that defines the Bessel polynomial of order n.

When n = 0, P0(x) = 1.

When n = 1, P1(x) = 1 + x.

When n ≥ 2,

P n ( x ) = P n 1 ( x ) + x 2 4 ( n 1 ) 2 1 P n 2 ( x )

The following illustration shows the four Bessel polynomials of order n = 0, 1, 2, 3. The range of x is from [-6, 6].

Where This Node Can Run:

Desktop OS: Windows

FPGA: This product does not support FPGA devices


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