DLMF:1.15.E43 (Q585): Difference between revisions

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Property / constraint
 

R 𝑅 {\displaystyle{\displaystyle R\to\infty}}

R\to\infty
Property / constraint: R 𝑅 {\displaystyle{\displaystyle R\to\infty}} / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
test:

d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1aqdec
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.m3aqdec
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.m1bdec

Latest revision as of 15:32, 1 January 2020

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DLMF:1.15.E43
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    Statements

    | s | δ K R ( s ) d s 0 , subscript 𝑠 𝛿 subscript 𝐾 𝑅 𝑠 𝑠 0 {\displaystyle{\displaystyle\int_{|s|\geq\delta}K_{R}(s)\mathrm{d}s\to 0,}}
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    R 𝑅 {\displaystyle{\displaystyle R\to\infty}}
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    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1aqdec
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    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3aqdec
    0 references
    K R ( s ) subscript 𝐾 𝑅 𝑠 {\displaystyle{\displaystyle K_{R}(s)}}
    C1.S15.XMD10.m1bdec
    0 references