DLMF:4.36.E5 (Q1919): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
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.m2addec

Revision as of 19:14, 1 January 2020

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DLMF:4.36.E5
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    Statements

    csch z = 1 z + 2 z n = 1 ( - 1 ) n z 2 + n 2 π 2 . 𝑧 1 𝑧 2 𝑧 superscript subscript 𝑛 1 superscript 1 𝑛 superscript 𝑧 2 superscript 𝑛 2 superscript 𝜋 2 {\displaystyle{\displaystyle\operatorname{csch}z=\frac{1}{z}+2z\sum_{n=1}^{% \infty}\frac{(-1)^{n}}{z^{2}+n^{2}\pi^{2}}.}}
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    DLMF:4.36.E5
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2addec
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