Formula:4295

Digital Library of Mathematical Functions ID 10.41.E6

${\displaystyle{\displaystyle K_{\nu}'\left(\nu z\right)\sim-\left(\frac{\pi}{2\nu}\right)^{\frac{1}{2}}\frac{(1+z^{2})^{\frac{1}{4}}e^{-\nu\eta}}{z}\sum_{k=0}^{\infty}(-1)^{k}\frac{V_{k}(p)}{\nu^{k}},}}$

Symbols List

• ${\displaystyle{\displaystyle\sim}}$:
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}$: modified Bessel function of the second kind
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle\nu}}$: complex parameter
• ${\displaystyle{\displaystyle\eta}}$: 10.41.E7
• ${\displaystyle{\displaystyle V_{k}(p)}}$: polynomial coefficient
 

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