Formula:5238

Digital Library of Mathematical Functions ID 13.15.E16

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \deriv[n]{}{z}\left(e^{\frac{1}{2}z}z^{-\mu-\frac{1}{2}}\WhittakerconfhyperM{\kappa}{\mu}@{z}\right)=\frac{\Pochhammersym{\frac{1}{2}+\mu-\kappa}{n}}{\Pochhammersym{1+2\mu}{n}}e^{\frac{1}{2}z}z^{-\mu-\frac{1}{2}(n+1)}\WhittakerconfhyperM{\kappa-\frac{1}{2}n}{\mu+\frac{1}{2}n}@{z},}

Symbols List

• ${\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}$:
• ${\displaystyle{\displaystyle M_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}$: Whittaker confluent hypergeometric function
• ${\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}$: derivative of $$f$$ with respect to $$x$$
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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