@@ Property / Symbols used @@
+Q11581
@@ Property / Symbols used: Q11581 / rank @@
+Normal rank
@@ Property / Symbols used: Q11581 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle{{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};% \NVar{z}\right)}}$ 
\genhyperF{2}{1}@{\NVar{a},\NVar{b}}{\NVar{c}}{\NVar{z}}
@@ Property / Symbols used: Q11581 / qualifier @@
+xml-id: C16.S2.m5adec
@@ 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.m1aadec
@@ Property / Symbols used @@
+Q11692
@@ Property / Symbols used: Q11692 / rank @@
+Normal rank
@@ Property / Symbols used: Q11692 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle z}}$ 
z
@@ Property / Symbols used: Q11692 / qualifier @@
+xml-id: C16.S1.XMD3.m1adec
@@ Property / Symbols used @@
+Q11693
@@ Property / Symbols used: Q11693 / rank @@
+Normal rank
@@ Property / Symbols used: Q11693 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle a,a_{1},\ldots,a_{p}}}$ 
a,a_{1},\ldots,a_{p}
@@ Property / Symbols used: Q11693 / qualifier @@
+xml-id: C16.S1.XMD4.m1adec
@@ Property / Symbols used @@
+Q11694
@@ Property / Symbols used: Q11694 / rank @@
+Normal rank
@@ Property / Symbols used: Q11694 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle b,b_{1},\ldots,b_{q}}}$ 
b,b_{1},\ldots,b_{q}
@@ Property / Symbols used: Q11694 / qualifier @@
+xml-id: C16.S1.XMD5.m1adec

DLMF:16.12.E2 (Q5247): Difference between revisions

F 1 2 ⁡ ( a , b ; c ; z ) Gauss-hypergeometric-F-as-2F1 𝑎 𝑏 𝑐 𝑧 {\displaystyle{\displaystyle{{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};% \NVar{z}\right)}}

z 𝑧 {\displaystyle{\displaystyle z}}

a , a 1 , … , a p 𝑎 subscript 𝑎 1 … subscript 𝑎 𝑝 {\displaystyle{\displaystyle a,a_{1},\ldots,a_{p}}}

b , b 1 , … , b q 𝑏 subscript 𝑏 1 … subscript 𝑏 𝑞 {\displaystyle{\displaystyle b,b_{1},\ldots,b_{q}}}

Latest revision as of 14:40, 2 January 2020

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${\displaystyle{\displaystyle{{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};% \NVar{z}\right)}}$

${\displaystyle{\displaystyle z}}$

${\displaystyle{\displaystyle a,a_{1},\ldots,a_{p}}}$

${\displaystyle{\displaystyle b,b_{1},\ldots,b_{q}}}$