Formula:4211

Digital Library of Mathematical Functions ID 10.30.E2

${\displaystyle{\displaystyle K_{\nu}\left(z\right)\sim\tfrac{1}{2}\Gamma\left(\nu\right)(\tfrac{1}{2}z)^{-\nu},}}$

Constraint(s)

${\displaystyle{\displaystyle\Re\nu>0}}$

Symbols List

• ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$: gamma function
• ${\displaystyle{\displaystyle\sim}}$: asymptotic equality
• ${\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}$: modified Bessel function of the second kind
• ${\displaystyle{\displaystyle\Re}}$: real part
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle\nu}}$: complex parameter
 

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