Synchrotron function

In mathematics the synchrotron functions are defined as follows (for x ≥ 0):^[1]

• First synchrotron function $${\displaystyle F(x)=x\int _{x}^{\infty }K_{\frac {5}{3}}(t)\,dt}$$
• Second synchrotron function $${\displaystyle G(x)=xK_{\frac {2}{3}}(x)}$$

where K_j is the modified Bessel function of the second kind.