DLMF:1.10.E20 (Q375): Difference between revisions

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Property / constraint
 

n N 𝑛 𝑁 {\displaystyle{\displaystyle n\geq N}}

n\geq N
Property / constraint: n N 𝑛 𝑁 {\displaystyle{\displaystyle n\geq N}} / rank
 
Normal rank
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.m2aadec
Property / Symbols used
 
Property / Symbols used: Q10760 / rank
 
Normal rank
Property / Symbols used: Q10760 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q10760 / qualifier
 
xml-id: C1.S1.XMD1.m1rdec
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

Latest revision as of 16:13, 1 January 2020

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DLMF:1.10.E20
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    Statements

    | ln ( 1 + a n ( z ) ) | M n , 1 subscript 𝑎 𝑛 𝑧 subscript 𝑀 𝑛 {\displaystyle{\displaystyle|\ln\left(1+a_{n}(z)\right)|\leq M_{n},}}
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    DLMF:1.10.E20
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    n N 𝑛 𝑁 {\displaystyle{\displaystyle n\geq N}}
    0 references
    ln z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    C4.S2.E2.m2aadec
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    z 𝑧 {\displaystyle{\displaystyle z}}
    C1.S1.XMD1.m1rdec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C1.S1.XMD7.m1hdec
    0 references