DLMF:13.15.E18 (Q4543)

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Language	Label	Description	Also known as
English	DLMF:13.15.E18	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\frac{{\mathrm{d}}^{n}}{{\mathrm{d}z}^{n}}\left(e^% {-\frac{1}{2}z}z^{\mu-\frac{1}{2}}M_{\kappa,\mu}\left(z\right)\right)=(-1)^{n}% {\left(-2\mu\right)_{n}}e^{-\frac{1}{2}z}z^{\mu-\frac{1}{2}(n+1)}M_{\kappa+% \frac{1}{2}n,\mu-\frac{1}{2}n}\left(z\right),}}

0 references

DLMF:13.15.E18

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Defining formula

{\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}

C5.S2.SS3.m1acdec

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Whittaker confluent hypergeometric function

Defining formula

{\displaystyle{\displaystyle M_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}

C13.S14.E2.m2ajdec

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derivative of $$f$$ with respect to $$x$$

Defining formula

{\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}

C1.S4.E4.m2acdec

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Defining formula

{\displaystyle{\displaystyle n}}

C13.S1.XMD2.m1cdec

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Defining formula

{\displaystyle{\displaystyle z}}

C13.S1.XMD6.m1qdec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2acdec

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Sitelinks

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