DLMF:4.36.E3 (Q1917): Difference between revisions

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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
 
test:

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.m2abdec

Revision as of 18:13, 1 January 2020

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DLMF:4.36.E3
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    Statements

    coth z = 1 z + 2 z n = 1 1 z 2 + n 2 π 2 , hyperbolic-cotangent 𝑧 1 𝑧 2 𝑧 superscript subscript 𝑛 1 1 superscript 𝑧 2 superscript 𝑛 2 superscript 𝜋 2 {\displaystyle{\displaystyle\coth z=\frac{1}{z}+2z\sum_{n=1}^{\infty}\frac{1}{% z^{2}+n^{2}\pi^{2}},}}
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2abdec
    0 references