Formula:4686

Digital Library of Mathematical Functions ID 11.6.E9

${\displaystyle{\displaystyle\mathbf{L}_{\nu}\left(\lambda\nu\right)\sim I_{\nu}\left(\lambda\nu\right),}}$

Constraint(s)

${\displaystyle{\displaystyle|\operatorname{ph}\nu|\leq\tfrac{1}{2}\pi-\delta}}$

Symbols List

• ${\displaystyle{\displaystyle\sim}}$: asymptotic equality
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle I_{\NVar{\nu}}\left(\NVar{z}\right)}}$: modified Bessel function of the first kind
• ${\displaystyle{\displaystyle\mathbf{L}_{\NVar{\nu}}\left(\NVar{z}\right)}}$: modified Struve function
• ${\displaystyle{\displaystyle\operatorname{ph}}}$: phase
• ${\displaystyle{\displaystyle\nu}}$: real or complex order
• ${\displaystyle{\displaystyle\delta}}$: arbitrary small positive constant
• ${\displaystyle{\displaystyle\lambda}}$: parameter
 

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