DLMF:1.15.E16 (Q558): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(One intermediate revision by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q10757 / rank
 
Normal rank
Property / Symbols used: Q10757 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q10757 / qualifier
 
xml-id: C1.S1.XMD7.m1mdec
Property / Symbols used
 
Property / Symbols used: Fejér kernel (locally) / rank
 
Normal rank
Property / Symbols used: Fejér kernel (locally) / qualifier
 
Defining formula:

K n ( θ ) subscript 𝐾 𝑛 𝜃 {\displaystyle{\displaystyle K_{n}(\theta)}}

K_{n}(\theta)
Property / Symbols used: Fejér kernel (locally) / qualifier
 
xml-id: C1.S15.XMD2.m1adec

Latest revision as of 16:29, 1 January 2020

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DLMF:1.15.E16
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    Statements

    1 2 π 0 2 π K n ( θ ) d θ = 1 . 1 2 𝜋 subscript superscript 2 𝜋 0 subscript 𝐾 𝑛 𝜃 𝜃 1 {\displaystyle{\displaystyle\frac{1}{2\pi}\int^{2\pi}_{0}K_{n}(\theta)\mathrm{% d}\theta=1.}}
    0 references
    DLMF:1.15.E16
    0 references
    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2aadec
    0 references
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1aadec
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    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3aadec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C1.S1.XMD7.m1mdec
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    K n ( θ ) subscript 𝐾 𝑛 𝜃 {\displaystyle{\displaystyle K_{n}(\theta)}}
    C1.S15.XMD2.m1adec
    0 references