Bessel function Ke for real numbers

Calculation of the exponentially scaled modified Bessel function Kn (z) of the second kind

Bessel-Ke function Kn (z) of the second kind


The Bessel-Ke function calculates the exponentially scaled modified Bessel function Kn (z) of the second kind. The modified Bessel functions do not show an oscillating but an exponential behavior. BesselKe (n, z) is a solution to the modified Bessel differential equation.

This function expects real numbers as arguments. You can find Bessel functions for complex numbers here .

To perform the calculation, enter a real number and the order number. Then click on the 'Calculate' button.


Calculator Bessel-Ke function

 Input
Ordinal number n
Argument z
Decimal places
 Results

The Bessel-Ke function calculates the exponentially scaled modified Bessel function Kn (z) of the second kind. The modified Bessel functions do not show an oscillating but an exponential behavior. BesselKe (n, z) is a solution of the modified Bessel differential equation.

The result can be a complex number if z is negative and n is a decimal number.

BesselI

Plot of the Bessel-K function with the ordinal numbers 0, 1 and 2


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