DLMF:18.28.E8 (Q5983): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Al-Salam–Chihara polynomial / rank
 
Normal rank
Property / Symbols used: Al-Salam–Chihara polynomial / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \AlSalamChiharapolyQ{\NVar{n}}@{\NVar{x}}{\NVar{a}}{\NVar{b}}{\NVar{q}}}

\AlSalamChiharapolyQ{\NVar{n}}@{\NVar{x}}{\NVar{a}}{\NVar{b}}{\NVar{q}}
Property / Symbols used: Al-Salam–Chihara polynomial / qualifier
 
xml-id: C18.S28.E7.m2aadec

Revision as of 12:21, 2 January 2020

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DLMF:18.28.E8
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    Statements

    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{1}{2\pi}\int_{0}^{\pi}\AlSalamChiharapolyQ{n}@{\cos@@{\theta}}{a}{b}{q}\AlSalamChiharapolyQ{m}@{\cos@@{\theta}}{a}{b}{q}\*\abs{\frac{\qPochhammer{e^{2i\theta}}{q}{\infty}}{\qmultiPochhammersym{ae^{i\theta},be^{i\theta}}{q}{\infty}}}^{2}\diff{\theta}=\frac{\Kroneckerdelta{n}{m}}{\qmultiPochhammersym{q^{n+1},abq^{n}}{q}{\infty}},}
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    DLMF:18.28.E8
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    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a,b\in\Reals}
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    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a=\conj{b}}
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    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a=\overline{b}}
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    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |ab|<1}
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    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |a|,|b|\leq 1}
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    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \AlSalamChiharapolyQ{\NVar{n}}@{\NVar{x}}{\NVar{a}}{\NVar{b}}{\NVar{q}}}
    C18.S28.E7.m2aadec
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