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FlexPro Documentation 2025

J0

Calculates the Bessel function of the first kind of the order 0.

Syntax

J0(Number)

 

The syntax of the J0 function consists of the following parts:

Part

Description

Number

The argument for the function.

All data structures are allowed. All numeric data types are permitted.

Remarks

The data type of the result is always 64-bit floating point.

The structure of the result corresponds to that of the argument Number. The calculation is done element-by-element where appropriate.

The result has the unit 1, if Number has a unit. Otherwise, it has no unit.

For aggregate data structures, only the Y component is calculated.

The real Bessel function is calculated for a real argument. The result then has the 64-bit floating point value data type. The following illustration shows the course of the function within the interval [-50, 50]:

If Number is complex, the complex Bessel function is calculated. The result then has the complex 64-bit floating point value data type. The following illustration shows the course of the absolute value of the function:

If the argument is a list, then the function is executed for each element of the list and the result is also a list.

For complex data types the absolute value is formed.

Available in

FlexPro Basic, Professional, Developer Suite

Examples

J0(0)

Results in 1.

Dim x
x = Series(-50, 50, 0.1)
Signal(J0(x), x)
 

Calculates a signal with the course of the curve within the interval [-50, 50].

See Also

J1 Function

Jn Function

Y0 Function

Y1 Function

Yn Function

References

[1] Donald E. Amos: AMOS - A Portable Package for Bessel Functions of a Complex Argument and Nonnegative Order. In: www.netlib.org. https://netlib.org/amos/, 1986.