Formula:4762

Digital Library of Mathematical Functions ID 11.11.E5

${\displaystyle{\displaystyle\mathbf{J}_{\nu}\left(z\right)=\frac{\sin\left(\pi\nu\right)}{\pi\nu}\left(1-\frac{\nu z}{\nu^{2}-1}+O\left(\frac{1}{\nu^{2}}\right)\right),}}$

Symbols List

• ${\displaystyle{\displaystyle\mathbf{J}_{\NVar{\nu}}\left(\NVar{z}\right)}}$: Anger function
• ${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$: order not exceeding
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\sin\NVar{z}}}$: sine function
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle\nu}}$: real or complex order
 

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