DLMF:13.14.E7 (Q4496): Difference between revisions

Revision as of 16:05, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:13.14.E7	No description defined

{\displaystyle{\displaystyle\lim_{2\mu\to-n-1}\frac{M_{\kappa,\mu}\left(z% \right)}{\Gamma\left(2\mu+1\right)}=\frac{{\left(-\frac{1}{2}n-\kappa\right)_{% n+1}}}{(n+1)!}M_{\kappa,\frac{1}{2}(n+1)}\left(z\right)=e^{-\frac{1}{2}z}z^{-% \frac{1}{2}n}\sum_{s=n+1}^{\infty}\frac{{\left(-\frac{1}{2}n-\kappa\right)_{s}% }}{\Gamma\left(s-n\right)s!}z^{s}.}}

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DLMF:13.14.E7

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

C5.S2.E1.m2adec

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{\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}

C5.S2.SS3.m1aadec

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@@ Property / Symbols used @@
+Q10759
@@ Property / Symbols used: Q10759 / rank @@
+Normal rank
@@ Property / Symbols used: Q10759 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}$ 
\Pochhammersym{\NVar{a}}{\NVar{n}}
@@ Property / Symbols used: Q10759 / qualifier @@
+xml-id: C5.S2.SS3.m1aadec