DLMF:28.19.E1 (Q8329): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: Q12272 / rank
 
Normal rank
Property / Symbols used: Q12272 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q12272 / qualifier
 
xml-id: C28.S1.XMD6.m1dec
Property / Symbols used
 
Property / Symbols used: Q12278 / rank
 
Normal rank
Property / Symbols used: Q12278 / qualifier
 
Defining formula:

ν 𝜈 {\displaystyle{\displaystyle\nu}}

\nu
Property / Symbols used: Q12278 / qualifier
 
xml-id: C28.S1.XMD7.m1dec
Property / Symbols used
 
Property / Symbols used: function (locally) / rank
 
Normal rank
Property / Symbols used: function (locally) / qualifier
 
Defining formula:

f ( z ) 𝑓 𝑧 {\displaystyle{\displaystyle f(z)}}

f(z)
Property / Symbols used: function (locally) / qualifier
 
xml-id: C28.S19.XMD1.m1dec

Latest revision as of 14:58, 2 January 2020

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DLMF:28.19.E1
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    Statements

    f ( z + π ) = e i ν π f ( z ) . 𝑓 𝑧 𝜋 superscript 𝑒 imaginary-unit 𝜈 𝜋 𝑓 𝑧 {\displaystyle{\displaystyle f(z+\pi)=e^{\mathrm{i}\nu\pi}f(z).}}
    0 references
    DLMF:28.19.E1
    0 references
    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2adec
    0 references
    e {\displaystyle{\displaystyle\mathrm{e}}}
    C4.S2.E11.m2adec
    0 references
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    C1.S9.E1.m2adec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C28.S1.XMD6.m1dec
    0 references
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    C28.S1.XMD7.m1dec
    0 references
    f ( z ) 𝑓 𝑧 {\displaystyle{\displaystyle f(z)}}
    C28.S19.XMD1.m1dec
    0 references