DLMF:9.6.E23

MaRDI QIDQ3501

• Label: DLMF:9.6.E23

Digital Library of Mathematical Functions ID 9.6.E23

${\displaystyle{\displaystyle\mathrm{Bi}\left(z\right)=\frac{1}{2^{1/3}\Gamma\left(\tfrac{2}{3}\right)}z^{-1/4}M_{0,-1/3}\left(2\zeta\right)+\frac{3}{2^{5/3}\Gamma\left(\tfrac{1}{3}\right)}z^{-1/4}M_{0,1/3}\left(2\zeta\right),}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}$:
• ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$: gamma function
• ${\displaystyle{\displaystyle M_{\NVar{\kappa},\NVar{\mu}}\left(\NVar{z}\right)}}$: Whittaker confluent hypergeometric function
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle\zeta}}$: change of variable (locally)
 

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