@@ Property / constraint @@
+ ${\displaystyle{\displaystyle x=0,1,\dots,N}}$ 
x=0,1,\dots,N
@@ Property / constraint: ${\displaystyle{\displaystyle x=0,1,\dots,N}}$ / rank @@
+Normal rank
@@ Property / Symbols used @@
+Q11768
@@ Property / Symbols used: Q11768 / rank @@
+Normal rank
@@ Property / Symbols used: Q11768 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle Q_{\NVar{n}}\left(\NVar{x};\NVar{\alpha},\NVar{% \beta},\NVar{N}\right)}}$ 
\HahnpolyQ{\NVar{n}}@{\NVar{x}}{\NVar{\alpha}}{\NVar{\beta}}{\NVar{N}}
@@ Property / Symbols used: Q11768 / qualifier @@
+xml-id: C18.S19.T1.t1.r2.m1adec
@@ Property / Symbols used @@
+Q11384
@@ Property / Symbols used: Q11384 / rank @@
+Normal rank
@@ Property / Symbols used: Q11384 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle{{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}% \right)}}$ 
\genhyperF{1}{1}@{\NVar{a}}{\NVar{b}}{\NVar{z}}
@@ Property / Symbols used: Q11384 / qualifier @@
+xml-id: C16.S2.m7adec
@@ 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.m1adec
@@ 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.m5adec
@@ 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.m1dec
@@ 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.m1dec
@@ 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.m1dec
@@ Property / Symbols used @@
+Q11727
@@ Property / Symbols used: Q11727 / rank @@
+Normal rank
@@ Property / Symbols used: Q11727 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle x}}$ 
x
@@ Property / Symbols used: Q11727 / qualifier @@
+xml-id: C18.S2.XMD3.m1dec

DLMF:18.23.E1 (Q5902): Difference between revisions

x = 0 , 1 , … , N 𝑥 0 1 … 𝑁 {\displaystyle{\displaystyle x=0,1,\dots,N}}

Q n ⁡ ( x ; α , β , N ) Hahn-polynomial-Q 𝑛 𝑥 𝛼 𝛽 𝑁 {\displaystyle{\displaystyle Q_{\NVar{n}}\left(\NVar{x};\NVar{\alpha},\NVar{% \beta},\NVar{N}\right)}}

F 1 1 ⁡ ( a ; b ; z ) Kummer-confluent-hypergeometric-M-as-1F1 𝑎 𝑏 𝑧 {\displaystyle{\displaystyle{{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}% \right)}}

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

! {\displaystyle{\displaystyle!}}

z 𝑧 {\displaystyle{\displaystyle z}}

n 𝑛 {\displaystyle{\displaystyle n}}

N 𝑁 {\displaystyle{\displaystyle N}}

x 𝑥 {\displaystyle{\displaystyle x}}

Latest revision as of 01:38, 2 January 2020

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${\displaystyle{\displaystyle x=0,1,\dots,N}}$

${\displaystyle{\displaystyle Q_{\NVar{n}}\left(\NVar{x};\NVar{\alpha},\NVar{% \beta},\NVar{N}\right)}}$

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

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

${\displaystyle{\displaystyle!}}$

${\displaystyle{\displaystyle z}}$

${\displaystyle{\displaystyle n}}$

${\displaystyle{\displaystyle N}}$

${\displaystyle{\displaystyle x}}$