Formula:5237

Digital Library of Mathematical Functions ID 13.15.E15

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)=(-1)^{n}\Pochhammersym{-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 $$x$$
• Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \expe} : base of natural logarithm
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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