DLMF:2.6.E26 (Q851): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10905 / rank
 
Normal rank
Property / Symbols used: Q10905 / qualifier
 
Defining formula:

⟨ Λ , ϕ ⟩ distribution Λ italic-ϕ {\displaystyle{\displaystyle\left\langle\NVar{\Lambda},\NVar{\phi}\right% \rangle}}

\intinnerprod{\NVar{\Lambda}}{\NVar{\phi}}
Property / Symbols used: Q10905 / qualifier
 
xml-id: C1.S16.SS1.p5.m5akdec

Revision as of 17:13, 1 January 2020

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DLMF:2.6.E26
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    Statements

    Defining formula
    lim ε → 0 ⁡ ⟨ f n , ϕ ε ⟩ = n ! ⁢ ∫ 0 ∞ f n , n ⁢ ( t ) ( t + z ) n + 1 ⁢ d t . subscript → 𝜀 0 distribution subscript 𝑓 𝑛 subscript italic-ϕ 𝜀 𝑛 superscript subscript 0 subscript 𝑓 𝑛 𝑛 𝑡 superscript 𝑡 𝑧 𝑛 1 𝑡 {\displaystyle{\displaystyle\lim_{\varepsilon\to 0}\left\langle f_{n},\phi_{% \varepsilon}\right\rangle=n!\int_{0}^{\infty}\frac{f_{n,n}(t)}{(t+z)^{n+1}}% \mathrm{d}t.}}
    0 references
    DLMF id
    DLMF:2.6.E26
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1akdec
    0 references
    Q10905
    Defining formula
    ⟨ Λ , ϕ ⟩ distribution Λ italic-ϕ {\displaystyle{\displaystyle\left\langle\NVar{\Lambda},\NVar{\phi}\right% \rangle}}
    xml-id
    C1.S16.SS1.p5.m5akdec
    0 references
     
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