DLMF:31.16.E3 (Q9136): Difference between revisions

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‎Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: Q10755 / rank
 
Normal rank
Property / Symbols used: Q10755 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle !}

!
Property / Symbols used: Q10755 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r15.m5adec
Property / Symbols used
 
Property / Symbols used: Q12458 / rank
 
Normal rank
Property / Symbols used: Q12458 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \gamma}

\gamma
Property / Symbols used: Q12458 / qualifier
 
xml-id: C31.S1.XMD10.m1adec
Property / Symbols used
 
Property / Symbols used: Q12459 / rank
 
Normal rank
Property / Symbols used: Q12459 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \delta}

\delta
Property / Symbols used: Q12459 / qualifier
 
xml-id: C31.S1.XMD11.m1adec
Property / Symbols used
 
Property / Symbols used: Q12483 / rank
 
Normal rank
Property / Symbols used: Q12483 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}

m
Property / Symbols used: Q12483 / qualifier
 
xml-id: C31.S1.XMD4.m1adec
Property / Symbols used
 
Property / Symbols used: Q12484 / rank
 
Normal rank
Property / Symbols used: Q12484 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}

n
Property / Symbols used: Q12484 / qualifier
 
xml-id: C31.S1.XMD5.m1adec
Property / Symbols used
 
Property / Symbols used: Q12461 / rank
 
Normal rank
Property / Symbols used: Q12461 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a}

a
Property / Symbols used: Q12461 / qualifier
 
xml-id: C31.S1.XMD6.m1bdec
Property / Symbols used
 
Property / Symbols used: Q12462 / rank
 
Normal rank
Property / Symbols used: Q12462 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle q}

q
Property / Symbols used: Q12462 / qualifier
 
xml-id: C31.S1.XMD7.m1adec
Property / Symbols used
 
Property / Symbols used: Q12464 / rank
 
Normal rank
Property / Symbols used: Q12464 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \beta}

\beta
Property / Symbols used: Q12464 / qualifier
 
xml-id: C31.S1.XMD9.m1adec
Property / Symbols used
 
Property / Symbols used: Q12520 / rank
 
Normal rank
Property / Symbols used: Q12520 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A_{j}}

A_{j}
Property / Symbols used: Q12520 / qualifier
 
xml-id: C31.S16.XMD5.m1adec
Property / Symbols used
 
Property / Symbols used: DLMF:31.16.E6 / rank
 
Normal rank
Property / Symbols used: DLMF:31.16.E6 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle Q_{j}}

Q_{j}
Property / Symbols used: DLMF:31.16.E6 / qualifier
 
xml-id: C31.S16.XMD7.m1dec
Property / Symbols used
 
Property / Symbols used: DLMF:31.16.E7 / rank
 
Normal rank
Property / Symbols used: DLMF:31.16.E7 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle R_{j}}

R_{j}
Property / Symbols used: DLMF:31.16.E7 / qualifier
 
xml-id: C31.S16.XMD8.m1dec

Latest revision as of 13:46, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:31.16.E3
No description defined

    Statements

    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A_{0}=\frac{n!}{\Pochhammersym{\gamma+\delta}{n}}\HeunpolyHp{n}{m}@@{a}{q_{n,m}}{-n}{\beta}{\gamma}{\delta}{1},\quad Q_{0}A_{0}+R_{0}A_{1}=0,}
    0 references
    DLMF id
    DLMF:31.16.E3
    0 references
    Symbols used
    Heun polynomials
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \HeunpolyHp{\NVar{n}}{\NVar{m}}@{\NVar{a}}{\NVar{q_{n,m}}}{\NVar{-n}}{\NVar{\beta}}{\NVar{\gamma}}{\NVar{\delta}}{\NVar{z}}}
    xml-id
    C31.S5.E2.m2aadec
    0 references
    Q10759
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Pochhammersym{\NVar{a}}{\NVar{n}}}
    xml-id
    C5.S2.SS3.m1adec
    0 references
    Q10755
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle !}
    xml-id
    introduction.Sx4.p1.t1.r15.m5adec
    0 references
    Q12458
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \gamma}
    xml-id
    C31.S1.XMD10.m1adec
    0 references
    Q12459
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \delta}
    xml-id
    C31.S1.XMD11.m1adec
    0 references
    Q12483
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}
    xml-id
    C31.S1.XMD4.m1adec
    0 references
    Q12484
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}
    xml-id
    C31.S1.XMD5.m1adec
    0 references
    Q12461
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a}
    xml-id
    C31.S1.XMD6.m1bdec
    0 references
    Q12462
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle q}
    xml-id
    C31.S1.XMD7.m1adec
    0 references
    Q12464
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \beta}
    xml-id
    C31.S1.XMD9.m1adec
    0 references
    Q12520
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A_{j}}
    xml-id
    C31.S16.XMD5.m1adec
    0 references
    DLMF:31.16.E6
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle Q_{j}}
    xml-id
    C31.S16.XMD7.m1dec
    0 references
    DLMF:31.16.E7
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle R_{j}}
    xml-id
    C31.S16.XMD8.m1dec
    0 references
     
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