Formula:5353

Digital Library of Mathematical Functions ID 13.26.E4

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle e^{\frac{1}{2}y}\left(\frac{x}{x+y}\right)^{\mu-\frac{1}{2}}\sum_{n=0}^{\infty}\frac{\Pochhammersym{-2\mu}{n}}{n!}\left(\frac{-y}{\sqrt{x}}\right)^{n}\*\WhittakerconfhyperM{\kappa+\frac{1}{2}n}{\mu-\frac{1}{2}n}@{x},}

Constraint(s)

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

Symbols List

• Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \Pochhammersym{\NVar{a}}{\NVar{n}}} :
• ${\displaystyle{\displaystyle M_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}$: Whittaker confluent hypergeometric function
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle y}}$: real variable
 

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