# Laguerre polynomial (chart) Calculator

## Calculates a table of the Laguerre polynomial Ln(x) and draws the chart.

 n n=0,1,2,... [ initial value x increment repetition ]
 $\normal Laguerre\ polinomial\ L_n(x)\\[10](1)\ xy''+(1-x)y'+ny=0\\\hspace{25} y=L_n(x)\\[10](2)\ {\large\frac{\large e^{-\frac{xt}{1-t}}}{1-t}}={\large\sum_{n=0}^{\infty}}L_n(x)t^n\\\hspace{20}{\large\int_{\tiny 0}^{\hspace{25}\tiny \infty}}L_n(x)L_m(x)e^{-x}dx=\delta_{mn}\\[10](3)\ L_n(x)={}_{\small 1}F_{\small 1} (-n;\ 1;x)\\$

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