Formula:5190

Digital Library of Mathematical Functions ID 13.14.E4

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \KummerconfhyperM@{a}{b}{z}=e^{\frac{1}{2}z}z^{-\frac{1}{2}b}\WhittakerconfhyperM{\frac{1}{2}b-a}{\frac{1}{2}b-\frac{1}{2}}@{z},}

Symbols List

• ${\displaystyle{\displaystyle M\left(\NVar{a},\NVar{b},\NVar{z}\right)}}$: $$={{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}\right)$$ Kummer confluent hypergeometric function
• ${\displaystyle{\displaystyle M_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}$: Whittaker confluent hypergeometric function
• Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \expe} : base of natural logarithm
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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