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Member of the advanced class.

Syntax

yv = bessely(v, x)

yv = bessely(v, x, 1)

[yv, error] = bessely(v, x)

[yv, error] = bessely(v, x, 1)

Description

Computes the Bessel function of the second kind of a given order.

Details

Examples

Inputs

Name	Description
v	Specifies the order of the Bessel function. v is a real, double-precision, floating-point, positive scalar, vector, or matrix.
x	Specifies the value for which you want to compute the Bessel function. x is a real or complex, double-precision, floating-point scalar, vector, or matrix.
1	Scales the computation. bessely(v, x, 1) scales bessely(v, x) by exp(-abs(imag(x))).

Outputs

Name	Description
yv	Returns the Bessel function of the second kind. yv is a real or complex, double-precision, floating-point scalar, vector, or matrix.
error	Returns error information about the evaluation of the Bessel function. error is an integer that can return the following values. 0 Indicates that no error occurred. 1 Indicates that you specified invalid inputs. 2 Indicates that the result is too large for the data type of yv. Use the scaling option 1. 3 Indicates that LabVIEW achieved less than half the machine accuracy in the calculation because |x| or v is greater than approximately 1.3E8. 4 Indicates that the result is meaningless because |x| or v is greater than approximately 1.8E16. 5 Indicates that the calculation did not reach the termination condition so LabVIEW did not complete the calculation.

Details

bessely(v, x) solves the following equation: x²*w''+x*w'+(x²-v²)*w = 0.
The following equation is a well-known representation for bessely(v, x): bessely(v, x) = (besselj(v, x)*cos(v*pi)-besselj(-v, x))/sin(v*pi).

Examples

X = [0:0.01:2];
YV = bessely(2, X);
plot(X, YV)

Related Topics

airy
besschk
bessel
besselh
besseli
besselj
besselk