DLMF:15.8.E20 (Q5077): Difference between revisions

Revision as of 14:05, 2 January 2020

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English	DLMF:15.8.E20	No description defined

{\displaystyle{\displaystyle F\left({a,1-a\atop c};z\right)=(1-z)^{c-1}F\left(% {\frac{1}{2}(c-a),\frac{1}{2}(a+c-1)\atop c};4z(1-z)\right),}}

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DLMF:15.8.E20

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{\displaystyle{\displaystyle\Re z<\frac{1}{2}}}

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{\displaystyle{\displaystyle F\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)}}

C15.S2.E1.m2aidec

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@@ Property / Symbols used @@
+$$={{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$  Gauss’ hypergeometric function
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle F\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)}}$ 
\hyperF@{\NVar{a}}{\NVar{b}}{\NVar{c}}{\NVar{z}}
+xml-id: C15.S2.E1.m2aidec