DLMF:10.7.E3

MaRDI QIDQ3754

• Label: DLMF:10.7.E3

Digital Library of Mathematical Functions ID 10.7.E3

${\displaystyle{\displaystyle J_{\nu}\left(z\right)\sim(\tfrac{1}{2}z)^{\nu}/\Gamma\left(\nu+1\right),}}$

Constraint(s)

${\displaystyle{\displaystyle\nu\neq-1,-2,-3,\dots}}$

Symbols List

• ${\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}$: Bessel function of the first kind
• ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$: gamma function
• ${\displaystyle{\displaystyle\sim}}$: asymptotic equality
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle\nu}}$: complex parameter
 

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