@@ 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.m5acdec
@@ 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.m1afdec
@@ Property / Symbols used @@
+Q11769
@@ Property / Symbols used: Q11769 / rank @@
+Normal rank
@@ Property / Symbols used: Q11769 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle R_{\NVar{n}}\left(\NVar{x};\NVar{\gamma},\NVar{% \delta},\NVar{N}\right)}}$ 
\dualHahnpolyR{\NVar{n}}@{\NVar{x}}{\NVar{\gamma}}{\NVar{\delta}}{\NVar{N}}
@@ Property / Symbols used: Q11769 / qualifier @@
+xml-id: C18.S25.T1.t1.r5.m2aedec
@@ Property / Symbols used @@
+Q10755
@@ Property / Symbols used: Q10755 / rank @@
+Normal rank
@@ Property / Symbols used: Q10755 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle!}}$ 
!
@@ Property / Symbols used: Q10755 / qualifier @@
+xml-id: introduction.Sx4.p1.t1.r15.m5afdec
@@ Property / Symbols used @@
+Q11743
@@ Property / Symbols used: Q11743 / rank @@
+Normal rank
@@ Property / Symbols used: Q11743 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle y}}$ 
y
@@ Property / Symbols used: Q11743 / qualifier @@
+xml-id: C18.S1.XMD1.m1kdec
@@ Property / Symbols used @@
+Q11750
@@ Property / Symbols used: Q11750 / rank @@
+Normal rank
@@ Property / Symbols used: Q11750 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle z}}$ 
z
@@ Property / Symbols used: Q11750 / qualifier @@
+xml-id: C18.S1.XMD2.m1cdec
@@ Property / Symbols used @@
+Q11726
@@ Property / Symbols used: Q11726 / rank @@
+Normal rank
@@ Property / Symbols used: Q11726 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle n}}$ 
n
@@ Property / Symbols used: Q11726 / qualifier @@
+xml-id: C18.S1.XMD6.m1sdec
@@ Property / Symbols used @@
+Q11736
@@ Property / Symbols used: Q11736 / rank @@
+Normal rank
@@ Property / Symbols used: Q11736 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle N}}$ 
N
@@ Property / Symbols used: Q11736 / qualifier @@
+xml-id: C18.S1.XMD7.m1idec
@@ Property / Symbols used @@
+Q11754
@@ Property / Symbols used: Q11754 / rank @@
+Normal rank
@@ Property / Symbols used: Q11754 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\delta}}$ 
\delta
@@ Property / Symbols used: Q11754 / qualifier @@
+xml-id: C18.S1.XMD8.m1gdec

DLMF:18.26.E21 (Q5951): 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)}}

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

R n ⁡ ( x ; γ , δ , N ) dual-Hahn-R 𝑛 𝑥 𝛾 𝛿 𝑁 {\displaystyle{\displaystyle R_{\NVar{n}}\left(\NVar{x};\NVar{\gamma},\NVar{% \delta},\NVar{N}\right)}}

! {\displaystyle{\displaystyle!}}

y 𝑦 {\displaystyle{\displaystyle y}}

z 𝑧 {\displaystyle{\displaystyle z}}

n 𝑛 {\displaystyle{\displaystyle n}}

N 𝑁 {\displaystyle{\displaystyle N}}

δ 𝛿 {\displaystyle{\displaystyle\delta}}

Latest revision as of 01:47, 2 January 2020

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

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

${\displaystyle{\displaystyle R_{\NVar{n}}\left(\NVar{x};\NVar{\gamma},\NVar{% \delta},\NVar{N}\right)}}$

${\displaystyle{\displaystyle!}}$

${\displaystyle{\displaystyle y}}$

${\displaystyle{\displaystyle z}}$

${\displaystyle{\displaystyle n}}$

${\displaystyle{\displaystyle N}}$

${\displaystyle{\displaystyle\delta}}$