Skip to main content

BesselY function

BESSELY(x,n) returns the Bessel function of the second kind (also called the Neumann function) of order n evaluated at x. x must be greater than 0. n is the order of the Bessel function; if it is not an integer, it is truncated.

The Bessel function of the second kind is defined as:

$$ Y_n(x) = \frac{J_n(x)\cos(n\pi) - J_{-n}(x)}{\sin(n\pi)} $$

Like BESSELJ, the function oscillates, but diverges to −∞ as x approaches 0.

Examples

BESSELY(1,0) equals 0.0882570

BESSELY(1,1) equals −0.1070324

Calculator

BesselY ,  -0.107032431541

Graph

BesselY function

Graph for different order parameters n

BesselY function

Related functions

External links