DLMF:1.15.E45 (Q587): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Fejér kernel (locally) / rank
 
Normal rank
Property / Symbols used: Fejér kernel (locally) / qualifier
 
test:

K R ⁢ ( s ) subscript 𝐾 𝑅 𝑠 {\displaystyle{\displaystyle K_{R}(s)}}

K_{R}(s)
Property / Symbols used: Fejér kernel (locally) / qualifier
 
xml-id: C1.S15.XMD10.m1cdec
Property / Symbols used
 
Property / Symbols used: Q10902 / rank
 
Normal rank
Property / Symbols used: Q10902 / qualifier
 
test:

σ R ⁢ ( θ ) subscript 𝜎 𝑅 𝜃 {\displaystyle{\displaystyle\sigma_{R}(\theta)}}

\sigma_{R}(\theta)
Property / Symbols used: Q10902 / qualifier
 
xml-id: C1.S15.XMD11.m1adec

Latest revision as of 15:33, 1 January 2020

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DLMF:1.15.E45
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    Statements

    test
    σ R ⁢ ( θ ) = ∫ - ∞ ∞ f ⁢ ( t ) ⁢ K R ⁢ ( θ - t ) ⁢ d t . subscript 𝜎 𝑅 𝜃 subscript superscript 𝑓 𝑡 subscript 𝐾 𝑅 𝜃 𝑡 𝑡 {\displaystyle{\displaystyle\sigma_{R}(\theta)=\int^{\infty}_{-\infty}f(t)K_{R% }(\theta-t)\mathrm{d}t.}}
    0 references
    DLMF id
    DLMF:1.15.E45
    0 references
    Symbols used
    Q10770
    test
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1asdec
    0 references
    Q10771
    test
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3asdec
    0 references
    Fejér kernel (locally)
    test
    K R ⁢ ( s ) subscript 𝐾 𝑅 𝑠 {\displaystyle{\displaystyle K_{R}(s)}}
    xml-id
    C1.S15.XMD10.m1cdec
    0 references
    Q10902
    test
    σ R ⁢ ( θ ) subscript 𝜎 𝑅 𝜃 {\displaystyle{\displaystyle\sigma_{R}(\theta)}}
    xml-id
    C1.S15.XMD11.m1adec
    0 references
     
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