# Is a Mac donald function really a Bessel function

1. Dec 31, 2012

### zetafunction

my question is if a Mac Donald function is really a Bessel function i mean

$$J_{a}(ix)= CK_{a}(x)$$

here 'C' is a complex number

2. Dec 31, 2012

### lurflurf

As far as I know a Mac Donald function is the same as a modified Bessel function of the second kind

3. Dec 31, 2012

### JJacquelin

The modified Bessel functions of the second kind of imaginary argument (or the Bessel functions of the third kind) are alternatively named Basset functions , Macdonald functions, or modified Hankel functions.