DLMF:5.6.E5 (Q2072): Difference between revisions

Revision as of 19:32, 1 January 2020

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Language	Label	Description	Also known as
English	DLMF:5.6.E5	No description defined

{\displaystyle{\displaystyle\exp\left((1-s)\psi\left(x+s^{1/2}\right)\right)% \leq\frac{\Gamma\left(x+1\right)}{\Gamma\left(x+s\right)}\leq\exp\left((1-s)% \psi\left(x+\tfrac{1}{2}(s+1)\right)\right),}}

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DLMF:5.6.E5

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{\displaystyle{\displaystyle 0<s<1}}

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

C5.S2.E1.m2addec

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

C5.S2.E2.m2adec

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@@ Property / Symbols used @@
+psi (or digamma) function
@@ Property / Symbols used: psi (or digamma) function / rank @@
+Normal rank
@@ Property / Symbols used: psi (or digamma) function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\psi\left(\NVar{z}\right)}}$ 
\digamma@{\NVar{z}}
@@ Property / Symbols used: psi (or digamma) function / qualifier @@
+xml-id: C5.S2.E2.m2adec