# Kelvin function of the 3rd kind (chart) Calculator

## Calculates a table of the Kelvin functions of the third kind herv(x) and heiv(x) and draws the chart.

 order v real number [ initial value x increment repetition ]
 $\normal Kelvin\ functions\\\hspace{60} of\ the\ 3rd\ kind\qquad her_\nu(x),\ hei_\nu(x)\\[10](1)\ x^2y''+xy'-(ix^2+\nu^2)y=0\\\hspace{25} y=c_1{her_\nu(x)}+ic_2{hei_\nu(x)}\\[10](2)\ her_\nu(x)+ihei_\nu(x)=H^{(1)}_\nu(x{\large e^{i\frac{3\pi}{4}}})\\\hspace{135}={\large\frac{2}{i\pi}}\left(ker_\nu(x)+ikei_\nu(x)\right)\\$

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