# Whittaker function of the first kind (chart) Calculator

## Calculates Whittaker function of the first kind Mk,m(z) and draws the chart.

 $\normal M_{k,m}(z)=e^{-{\normal\frac{z}{2}}}z^{\small m+{\normal\frac{1}{2}}}{}_1F_1 (m-k+\frac{1}{2};2m+1;z)\\$

 k m initial value z [ increment repetition ]
 $\normal Whittaker\ differential\ equation\\[10](1)\ y''+(\frac{1}{4}-\frac{k}{z}+\frac{m^2-{\normal\frac{1}{4}}}{z^2})y=0\\\hspace{25} y=c_1M_{k,m}(z)+c_2W_{k,m}(z)\\[10](2)\ M_{k,m}(z)=e^{-{\normal\frac{z}{2}}}z^{\small m+{\normal\frac{1}{2}}}{}_1F_1 (m-k+\frac{1}{2};2m+1;z)\\[10](3)\ W_{k,m}(z)=e^{-{\normal\frac{z}{2}}}z^{\small m+{\normal\frac{1}{2}}}U(m-k+\frac{1}{2}\hspace{1},2m+1,z)\\$

Whittaker function of the first kind (chart)
 [1-1] /1 Disp-Num5103050100200
[1]  2013/04/01 17:05   Male / 60 years old level or over / A teacher / A researcher / A little /
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