Table Of Contents

Modified Bessel Function Iv (G Dataflow)

Version:
    Last Modified: March 15, 2017

    Computes the modified Bessel function of the first kind.

    connector_pane_image
    datatype_icon

    x

    Input argument.

    This input accepts a double-precision, floating-point number or a complex double-precision, floating-point number.

    Default: The default value is 0 if x is a double-precision, floating-point number. The default value is 0 + 0i if x is a complex double-precision, floating-point number.

    datatype_icon

    v

    Order of the Bessel function.

    datatype_icon

    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

    datatype_icon

    Iv(x)

    Value of the modified Bessel function of the first kind.

    This output can return a double-precision, floating-point number or a complex double-precision, floating-point number.

    datatype_icon

    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 Computing the Modified Bessel Function of the First Kind

    For the modified Bessel function of the first kind of order v, also known as the hyperbolic Bessel function of the first kind, lv(x) is a solution of the following differential equation.

    x 2 d 2 w d x 2 + x d w d x ( x 2 + v 2 ) w = 0

    The function is defined according to the following intervals for the input values.

    v x
    v \ x [ 0 , )

    This node supports the entire domain of this function that produces real-valued results. For any integer value of order v, the function is defined for all real values of x. For any noninteger value of order v, the function is defined for nonnegative real values of x.

    Where This Node Can Run:

    Desktop OS: Windows

    FPGA: This product does not support FPGA devices


    Recently Viewed Topics