DLMF:32.15.E1 (Q9493): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
test:

∫ {\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3adec
Property / Symbols used
 
Property / Symbols used: Q12573 / rank
 
Normal rank
Property / Symbols used: Q12573 / qualifier
 
test:

m 𝑚 {\displaystyle{\displaystyle m}}

m
Property / Symbols used: Q12573 / qualifier
 
xml-id: C32.S1.XMD1.m1dec
Property / Symbols used
 
Property / Symbols used: Q12571 / rank
 
Normal rank
Property / Symbols used: Q12571 / qualifier
 
test:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q12571 / qualifier
 
xml-id: C32.S1.XMD2.m1dec

Latest revision as of 13:19, 2 January 2020

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English
DLMF:32.15.E1
No description defined

    Statements

    test
    ∫ - ∞ ∞ exp ⁡ ( - 1 4 ⁢ ξ 4 - z ⁢ ξ 2 ) ⁢ p m ⁢ ( ξ ) ⁢ p n ⁢ ( ξ ) ⁢ d ξ = δ m , n , superscript subscript 1 4 superscript 𝜉 4 𝑧 superscript 𝜉 2 subscript 𝑝 𝑚 𝜉 subscript 𝑝 𝑛 𝜉 𝜉 Kronecker 𝑚 𝑛 {\displaystyle{\displaystyle\int_{-\infty}^{\infty}\exp\left(-\tfrac{1}{4}\xi^% {4}-z\xi^{2}\right)p_{m}(\xi)p_{n}(\xi)\mathrm{d}\xi=\delta_{m,n},}}
    0 references
    DLMF id
    DLMF:32.15.E1
    0 references
    Symbols used
    Q10768
    test
    δ j , k Kronecker 𝑗 𝑘 {\displaystyle{\displaystyle\delta_{\NVar{j},\NVar{k}}}}
    xml-id
    introduction.Sx4.p1.t1.r4.m5adec
    0 references
    Q10770
    test
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1adec
    0 references
    exponential function
    test
    exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}}
    xml-id
    C4.S2.E19.m2adec
    0 references
    Q10771
    test
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3adec
    0 references
    Q12573
    test
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C32.S1.XMD1.m1dec
    0 references
    Q12571
    test
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C32.S1.XMD2.m1dec
    0 references
     
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