Formula:5242

Digital Library of Mathematical Functions ID 13.15.E20

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

Symbols List

• Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \Pochhammersym{\NVar{a}}{\NVar{n}}} :
• Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \WhittakerconfhyperM{\NVar{\kappa}}{\NVar{\mu}}@{\NVar{z}}} : 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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