DLMF:10.16.E9 (Q3168): Difference between revisions

Revision as of 15:27, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:10.16.E9	No description defined

{\displaystyle{\displaystyle J_{\nu}\left(z\right)=\frac{(\tfrac{1}{2}z)^{\nu}% }{\Gamma\left(\nu+1\right)}{{}_{0}F_{1}}\left(-;\nu+1;-\tfrac{1}{4}z^{2}\right% ).}}

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DLMF:10.16.E9

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

C10.S2.E2.m2aedec

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{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2abdec

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{\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots% ,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{z}\right)}}

C16.S2.m1adec

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@@ Property / Symbols used @@
+Q11125
@@ Property / Symbols used: Q11125 / rank @@
+Normal rank
@@ Property / Symbols used: Q11125 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots% ,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{z}\right)}}$ 
\genhyperF{\NVar{p}}{\NVar{q}}@{\NVar{a_{1},\dots,a_{p}}}{\NVar{b_{1},\dots,b_{q}}}{\NVar{z}}
@@ Property / Symbols used: Q11125 / qualifier @@
+xml-id: C16.S2.m1adec