DLMF:13.20.E2

MaRDI QIDQ5288

• Label: DLMF:13.20.E2

Digital Library of Mathematical Functions ID 13.20.E2

${\displaystyle{\displaystyle W_{\kappa,\mu}\left(x\right)=\pi^{-\frac{1}{2}}\Gamma\left(\kappa+\mu\right)\left(\tfrac{1}{4}x\right)^{\frac{1}{2}-\mu}\left(1+O\left(\mu^{-1}\right)\right),}}$

Symbols List

• ${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$: order not exceeding
• ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$: gamma function
• ${\displaystyle{\displaystyle W_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}$: Whittaker confluent hypergeometric function
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle x}}$: real variable
 

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