DLMF:10.38.E3 (Q3562): Difference between revisions

Revision as of 13:49, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:10.38.E3	No description defined

{\displaystyle{\displaystyle\left.(-1)^{n}\frac{\partial I_{\nu}\left(z\right)% }{\partial\nu}\right|_{\nu=n}=-K_{n}\left(z\right)+\frac{n!}{2(\frac{1}{2}z)^{% n}}\sum_{k=0}^{n-1}(-1)^{k}\frac{(\frac{1}{2}z)^{k}I_{k}\left(z\right)}{k!(n-k% )},}}

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DLMF:10.38.E3

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{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5aadec

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{\displaystyle{\displaystyle I_{\NVar{\nu}}\left(\NVar{z}\right)}}

C10.S25.E2.m2abdec

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{\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}

C10.S25.E3.m2aadec

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@@ Property / Symbols used @@
+modified Bessel function of the second kind
@@ Property / Symbols used: modified Bessel function of the second kind / rank @@
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle K_{\NVar{\nu}}\left(\NVar{z}\right)}}$ 
\modBesselK{\NVar{\nu}}@{\NVar{z}}
+xml-id: C10.S25.E3.m2aadec