Bessel Function Calculator

Calculate Bessel functions J, Y, I, and K of various orders.

Function Parameters

Bessel Equation

x²y'' + xy' + (x² - n²)y = 0

Quick Values

Bessel Function of First Kind J_n(x)

0.22389078

J_0(2)

Derivative

-0.57672481

Values for Different Orders

J_0(2)0.223891
J_1(2)0.576725
J_2(2)0.352834
J_3(2)0.128943
J_4(2)0.033996
J_5(2)0.007040

Properties

  • • J_n: bounded, oscillating
  • • Y_n: singular at x=0
  • • I_n: exponentially growing
  • • K_n: exponentially decaying