DLMF:14.8.E12 (Q4786): Difference between revisions

Revision as of 01:34, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:14.8.E12	No description defined

{\displaystyle{\displaystyle P^{\mu}_{\nu}\left(x\right)\sim\frac{\Gamma\left(% \nu+\frac{1}{2}\right)}{\pi^{1/2}\Gamma\left(\nu-\mu+1\right)}(2x)^{\nu},}}

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DLMF:14.8.E12

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{\displaystyle{\displaystyle\Re\nu>-\tfrac{1}{2}}}

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{\displaystyle{\displaystyle\Re\nu>-\tfrac{1}{2}}}

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{\displaystyle{\displaystyle\mu-\nu\neq 1,2,3,\dots}}

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

C5.S2.E1.m2ahdec

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{\displaystyle{\displaystyle P^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{z}\right)}}

C14.S21.SS1.p1.m1abdec

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{\displaystyle{\displaystyle\sim}}

C2.S1.E1.m2ahdec

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@@ Property / Symbols used @@
+asymptotic equality
@@ Property / Symbols used: asymptotic equality / rank @@
+Normal rank
@@ Property / Symbols used: asymptotic equality / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\sim}}$ 
\asympeq
@@ Property / Symbols used: asymptotic equality / qualifier @@
+xml-id: C2.S1.E1.m2ahdec