DLMF:10.60.E4 (Q3779): Difference between revisions

Revision as of 14:18, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:10.60.E4	No description defined

{\displaystyle{\displaystyle\mathsf{j}_{n}\left(2z\right)=-n!z^{n+1}\sum_{k=0}% ^{n}\frac{2n-2k+1}{k!(2n-k+1)!}\mathsf{j}_{n-k}\left(z\right)\mathsf{y}_{n-k}% \left(z\right),}}

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DLMF:10.60.E4

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{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5adec

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{\displaystyle{\displaystyle\mathsf{j}_{\NVar{n}}\left(\NVar{z}\right)}}

C10.S47.E3.m2abdec

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@@ Property / Symbols used @@
+spherical Bessel function of the first kind
@@ Property / Symbols used: spherical Bessel function of the first kind / rank @@
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle\mathsf{j}_{\NVar{n}}\left(\NVar{z}\right)}}$ 
\sphBesselJ{\NVar{n}}@{\NVar{z}}
+xml-id: C10.S47.E3.m2abdec