DLMF:4.36.E4 (Q1918): 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: imaginary unit / rank
 
Normal rank
Property / Symbols used: imaginary unit / qualifier
 
Defining formula:

i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}

\iunit
Property / Symbols used: imaginary unit / qualifier
 
xml-id: C1.S9.E1.m2adec
Property / Symbols used
 
Property / Symbols used: Q11223 / rank
 
Normal rank
Property / Symbols used: Q11223 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11223 / qualifier
 
xml-id: C4.S1.XMD3.m1cdec
Property / Symbols used
 
Property / Symbols used: Q11217 / rank
 
Normal rank
Property / Symbols used: Q11217 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11217 / qualifier
 
xml-id: C4.S1.XMD8.m1cdec

Latest revision as of 19:14, 1 January 2020

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DLMF:4.36.E4
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    Statements

    csch 2 z = n = - 1 ( z - n π i ) 2 , 2 𝑧 superscript subscript 𝑛 1 superscript 𝑧 𝑛 𝜋 𝑖 2 {\displaystyle{\displaystyle{\operatorname{csch}^{2}}z=\sum_{n=-\infty}^{% \infty}\frac{1}{(z-n\pi i)^{2}},}}
    0 references
    DLMF:4.36.E4
    0 references
    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2acdec
    0 references
    csch z 𝑧 {\displaystyle{\displaystyle\operatorname{csch}\NVar{z}}}
    C4.S28.E5.m2adec
    0 references
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    C1.S9.E1.m2adec
    0 references
    n 𝑛 {\displaystyle{\displaystyle n}}
    C4.S1.XMD3.m1cdec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C4.S1.XMD8.m1cdec
    0 references