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

## Calculates a table of the derivative Kelvin functions of the third kind her'v(x) and hei'v(x) and draws the chart.

order v
 real number
[ initial value x
increment
 repetition ]

 $\normal Derivative\ Kelvin\ functions\\\hspace{60} of\ the\ 3rd\ kind\qquad her_\nu'(x),\ hei_\nu'(x)\\[10](1)\ x^2y''+xy'-(ix^2+\nu^2)y=0\\\hspace{25} y=c_1{her_\nu(x)}+ic_2{hei_\nu(x)}\\[10](2)\ her_\nu'(x)={\large\frac{her_{\nu\tiny +1}(x)+hei_{\nu\tiny +1}(x)}{\sqrt{2}}} +{\large\frac{\nu}{x}}her_\nu(x)\\\hspace{25}hei_\nu'(x)={\large\frac{hei_{\nu\tiny +1}(x)-her_{\nu\tiny +1}(x)}{\sqrt{2}}} +{\large\frac{\nu}{x}}hei_\nu(x)\\$

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