@@ Property / Symbols used @@
+Q10768
@@ Property / Symbols used: Q10768 / rank @@
+Normal rank
@@ Property / Symbols used: Q10768 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\delta_{\NVar{j},\NVar{k}}}}$ 
\Kroneckerdelta{\NVar{j}}{\NVar{k}}
@@ Property / Symbols used: Q10768 / qualifier @@
+xml-id: introduction.Sx4.p1.t1.r4.m5acdec
@@ Property / Symbols used @@
+Q11298
@@ Property / Symbols used: Q11298 / rank @@
+Normal rank
@@ Property / Symbols used: Q11298 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}$ 
\qPochhammer{\NVar{a}}{\NVar{q}}{\NVar{n}}
@@ Property / Symbols used: Q11298 / qualifier @@
+xml-id: C17.S2.SS1.p1.m2agdec
@@ Property / Symbols used @@
+$$q^{-1}$$ -Al-Salam–Chihara polynomial
@@ Property / Symbols used: $$q^{-1}$$ -Al-Salam–Chihara polynomial / rank @@
+Normal rank
@@ Property / Symbols used: $$q^{-1}$$ -Al-Salam–Chihara polynomial / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle Q_{\NVar{n}}\left(\NVar{x};\NVar{a},\NVar{b}\,|\,% \NVar{q}^{-1}\right)}}$ 
\qinvAlSalamChiharapolyQ{\NVar{n}}@{\NVar{x}}{\NVar{a}}{\NVar{b}}{\NVar{q}^{-1}}
@@ Property / Symbols used: $$q^{-1}$$ -Al-Salam–Chihara polynomial / qualifier @@
+xml-id: C18.S28.E9.m2aadec
@@ Property / Symbols used @@
+Q11713
@@ Property / Symbols used: Q11713 / rank @@
+Normal rank
@@ Property / Symbols used: Q11713 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\left(\NVar{a_{1},a_{2},\dots,a_{r}};\NVar{q}% \right)_{\NVar{n}}}}$ 
\qmultiPochhammersym{\NVar{a_{1},a_{2},\dots,a_{r}}}{\NVar{q}}{\NVar{n}}
@@ Property / Symbols used: Q11713 / qualifier @@
+xml-id: C17.S2.SS1.p1.m6aedec
@@ 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.m1adec
@@ Property / Symbols used @@
+Q11728
@@ Property / Symbols used: Q11728 / rank @@
+Normal rank
@@ Property / Symbols used: Q11728 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle q}}$ 
q
@@ Property / Symbols used: Q11728 / qualifier @@
+xml-id: C18.S1.XMD3.m1gdec
@@ Property / Symbols used @@
+Q11730
@@ Property / Symbols used: Q11730 / rank @@
+Normal rank
@@ Property / Symbols used: Q11730 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle m}}$ 
m
@@ Property / Symbols used: Q11730 / qualifier @@
+xml-id: C18.S1.XMD5.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.m1gdec

DLMF:18.28.E10 (Q5985): Difference between revisions

δ j , k Kronecker 𝑗 𝑘 {\displaystyle{\displaystyle\delta_{\NVar{j},\NVar{k}}}}

( a ; q ) n q-Pochhammer-symbol 𝑎 𝑞 𝑛 {\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}

Q n ⁡ ( x ; a , b | q - 1 ) q-inverse-AlSalam-Chihara-polynomial-Q 𝑛 𝑥 𝑎 𝑏 superscript 𝑞 1 {\displaystyle{\displaystyle Q_{\NVar{n}}\left(\NVar{x};\NVar{a},\NVar{b}\,|\,% \NVar{q}^{-1}\right)}}

( a 1 , a 2 , … , a r ; q ) n q-multiple-Pochhammer subscript 𝑎 1 subscript 𝑎 2 … subscript 𝑎 𝑟 𝑞 𝑛 {\displaystyle{\displaystyle\left(\NVar{a_{1},a_{2},\dots,a_{r}};\NVar{q}% \right)_{\NVar{n}}}}

y 𝑦 {\displaystyle{\displaystyle y}}

q 𝑞 {\displaystyle{\displaystyle q}}

m 𝑚 {\displaystyle{\displaystyle m}}

n 𝑛 {\displaystyle{\displaystyle n}}

Latest revision as of 13:22, 2 January 2020

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${\displaystyle{\displaystyle\delta_{\NVar{j},\NVar{k}}}}$

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

${\displaystyle{\displaystyle Q_{\NVar{n}}\left(\NVar{x};\NVar{a},\NVar{b}\,|\,% \NVar{q}^{-1}\right)}}$

${\displaystyle{\displaystyle\left(\NVar{a_{1},a_{2},\dots,a_{r}};\NVar{q}% \right)_{\NVar{n}}}}$

${\displaystyle{\displaystyle y}}$

${\displaystyle{\displaystyle q}}$

${\displaystyle{\displaystyle m}}$

${\displaystyle{\displaystyle n}}$