Formula:4846

Digital Library of Mathematical Functions ID 12.8.E12

${\displaystyle{\displaystyle\frac{{\mathrm{d}}^{m}}{{\mathrm{d}z}^{m}}\left(e^{-\frac{1}{4}z^{2}}V\left(a,z\right)\right)=(-1)^{m}{\left(\tfrac{1}{2}-a\right)_{m}}e^{-\frac{1}{4}z^{2}}V\left(a-m,z\right).}}$

Symbols List

• ${\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}$:
• ${\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}$: derivative of $$f$$ with respect to $$x$$
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle V\left(\NVar{a},\NVar{z}\right)}}$:
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle a}}$: real or complex parameter
 

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