# Kelvin function of the 1st kind (chart) Calculator

## Calculates a table of the Kelvin functions of the first kind berv((x) and beiv((x) and draws the chart.

 order v real number [ initial value x increment repetition ]
 $\normal Kelvin\ functions\\\hspace{60} of\ the\ 1st\ kind\ ber_\nu(x),\ bei_\nu(x)\\[10](1)\ x^2y''+xy'-(ix^2+\nu^2)y=0\\\hspace{25} y=c_1{ber_\nu(x)}+ic_2{bei_\nu(x)}\\[10](2)\ ber_\nu(x)+ibei_\nu(x)=J_\nu(x{\large e^{i\frac{3\pi}{4}}})\\\hspace{80}={\large(\frac{x}{2})^\nu e^{i\frac{3\nu\pi}{4}}\sum_{\small k=0}^{\small\infty}\frac{(\frac{ix^2}{4})^{k}}{k!\Gamma(\nu+k+1)}}\\$

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