DLMF:1.8.E9 (Q263): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: asymptotic equality / rank
 
Normal rank
Property / Symbols used: asymptotic equality / qualifier
 
Defining formula:

asymptotically-equals {\displaystyle{\displaystyle\sim}}

\asympeq
Property / Symbols used: asymptotic equality / qualifier
 
xml-id: C2.S1.E1.m2adec
Property / Symbols used
 
Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
 
Normal rank
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
Defining formula:

π {\displaystyle{\displaystyle\pi}}

\cpi
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
xml-id: C3.S12.E1.m2aedec
Property / Symbols used
 
Property / Symbols used: principal branch of logarithm function / rank
 
Normal rank
Property / Symbols used: principal branch of logarithm function / qualifier
 
Defining formula:

ln z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}

\ln@@{\NVar{z}}
Property / Symbols used: principal branch of logarithm function / qualifier
 
xml-id: C4.S2.E2.m2adec
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.m1hdec
Property / Symbols used
 
Property / Symbols used: Lebesgue constants (locally) / rank
 
Normal rank
Property / Symbols used: Lebesgue constants (locally) / qualifier
 
Defining formula:

L n subscript 𝐿 𝑛 {\displaystyle{\displaystyle L_{n}}}

L_{n}
Property / Symbols used: Lebesgue constants (locally) / qualifier
 
xml-id: C1.S8.XMD1.m1adec

Latest revision as of 16:04, 1 January 2020

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DLMF:1.8.E9
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    Statements

    L n ( 4 / π 2 ) ln n ; asymptotically-equals subscript 𝐿 𝑛 4 superscript 𝜋 2 𝑛 {\displaystyle{\displaystyle L_{n}\sim(4/\pi^{2})\ln n;}}
    0 references
    DLMF:1.8.E9
    0 references
    asymptotically-equals {\displaystyle{\displaystyle\sim}}
    C2.S1.E1.m2adec
    0 references
    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2aedec
    0 references
    ln z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    C4.S2.E2.m2adec
    0 references
    n 𝑛 {\displaystyle{\displaystyle n}}
    C1.S1.XMD7.m1hdec
    0 references
    L n subscript 𝐿 𝑛 {\displaystyle{\displaystyle L_{n}}}
    C1.S8.XMD1.m1adec
    0 references