Formula:5248

Digital Library of Mathematical Functions ID 13.15.E26

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}\WhittakerconfhyperW{\kappa}{\mu}@{z}\right)=(-1)^{n}e^{-\frac{1}{2}z}z^{\kappa+n-1}\WhittakerconfhyperW{\kappa+n}{\mu}@{z}.}

Symbols List

• ${\displaystyle{\displaystyle W_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}$: Whittaker confluent hypergeometric function
• Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \deriv{\NVar{f}}{\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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