bessel_y

Overloads

Name	Description
bessel_y(bool nu, bool x) -> real	Evaluates the cylindrical Neumann function (Bessel function of the second kind, Y) at the given position. Defined as:...
bessel_y(bool nu, real x) -> real	Evaluates the cylindrical Neumann function (Bessel function of the second kind, Y) at the given position. Defined as:...
bessel_y(integer nu, real x) -> real	Evaluates the cylindrical Neumann function (Bessel function of the second kind, Y) at the given position. Defined as:...
bessel_y(integer nu, integer x) -> real	Evaluates the cylindrical Neumann function (Bessel function of the second kind, Y) at the given position. Defined as:...
bessel_y(integer nu, bool x) -> real	Evaluates the cylindrical Neumann function (Bessel function of the second kind, Y) at the given position. Defined as:...
bessel_y(real nu, integer x) -> real	Evaluates the cylindrical Neumann function (Bessel function of the second kind, Y) at the given position. Defined as:...
bessel_y(real nu, real x) -> real	Evaluates the cylindrical Neumann function (Bessel function of the second kind, Y) at the given position. Defined as:...
bessel_y(real nu, bool x) -> real	Evaluates the cylindrical Neumann function (Bessel function of the second kind, Y) at the given position. Defined as:...
bessel_y(bool nu, integer x) -> real	Evaluates the cylindrical Neumann function (Bessel function of the second kind, Y) at the given position. Defined as:...

bessel_y(bool nu, bool x) -> real

Evaluates the cylindrical Neumann function (Bessel function of the second kind, Y) at the given position. Defined as:

$$Y_{\nu}(x) = \frac{J_{\nu}(x)\cos(\nu\pi) - J_{-\nu}(x)}{\sin(\nu\pi)}$$

Parameters

• nu: The order of the function.
• x: The value at which the function is evaluated.

bessel_y(bool nu, real x) -> real

Evaluates the cylindrical Neumann function (Bessel function of the second kind, Y) at the given position. Defined as:

$$Y_{\nu}(x) = \frac{J_{\nu}(x)\cos(\nu\pi) - J_{-\nu}(x)}{\sin(\nu\pi)}$$

Parameters

• nu: The order of the function.
• x: The value at which the function is evaluated.

bessel_y(integer nu, real x) -> real

Evaluates the cylindrical Neumann function (Bessel function of the second kind, Y) at the given position. Defined as:

$$Y_{\nu}(x) = \frac{J_{\nu}(x)\cos(\nu\pi) - J_{-\nu}(x)}{\sin(\nu\pi)}$$

Parameters

• nu: The order of the function.
• x: The value at which the function is evaluated.

bessel_y(integer nu, integer x) -> real

Evaluates the cylindrical Neumann function (Bessel function of the second kind, Y) at the given position. Defined as:

$$Y_{\nu}(x) = \frac{J_{\nu}(x)\cos(\nu\pi) - J_{-\nu}(x)}{\sin(\nu\pi)}$$

Parameters

• nu: The order of the function.
• x: The value at which the function is evaluated.

bessel_y(integer nu, bool x) -> real

Evaluates the cylindrical Neumann function (Bessel function of the second kind, Y) at the given position. Defined as:

$$Y_{\nu}(x) = \frac{J_{\nu}(x)\cos(\nu\pi) - J_{-\nu}(x)}{\sin(\nu\pi)}$$

Parameters

• nu: The order of the function.
• x: The value at which the function is evaluated.

bessel_y(real nu, integer x) -> real

Evaluates the cylindrical Neumann function (Bessel function of the second kind, Y) at the given position. Defined as:

$$Y_{\nu}(x) = \frac{J_{\nu}(x)\cos(\nu\pi) - J_{-\nu}(x)}{\sin(\nu\pi)}$$

Parameters

• nu: The order of the function.
• x: The value at which the function is evaluated.

bessel_y(real nu, real x) -> real

Evaluates the cylindrical Neumann function (Bessel function of the second kind, Y) at the given position. Defined as:

$$Y_{\nu}(x) = \frac{J_{\nu}(x)\cos(\nu\pi) - J_{-\nu}(x)}{\sin(\nu\pi)}$$

Parameters

• nu: The order of the function.
• x: The value at which the function is evaluated.

bessel_y(real nu, bool x) -> real

Evaluates the cylindrical Neumann function (Bessel function of the second kind, Y) at the given position. Defined as:

$$Y_{\nu}(x) = \frac{J_{\nu}(x)\cos(\nu\pi) - J_{-\nu}(x)}{\sin(\nu\pi)}$$

Parameters

• nu: The order of the function.
• x: The value at which the function is evaluated.

bessel_y(bool nu, integer x) -> real

Evaluates the cylindrical Neumann function (Bessel function of the second kind, Y) at the given position. Defined as:

$$Y_{\nu}(x) = \frac{J_{\nu}(x)\cos(\nu\pi) - J_{-\nu}(x)}{\sin(\nu\pi)}$$

Parameters

• nu: The order of the function.
• x: The value at which the function is evaluated.