Formula:5176

Digital Library of Mathematical Functions ID 13.13.E2

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \left(\frac{x+y}{x}\right)^{1-b}\sum_{n=0}^{\infty}\frac{\Pochhammersym{1-b}{n}(-\ifrac{y}{x})^{n}}{n!}\KummerconfhyperM@{a}{b-n}{x},}

Constraint(s)

${\displaystyle{\displaystyle|y|<|x|}}$

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
• ${\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}$:
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle y}}$: real variable
 

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