DLMF:4.22.E3 (Q1750): Difference between revisions

From DRMF
Jump to navigation Jump to search
Changed an Item: Add constraint
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: cotangent function / rank
 
Normal rank
Property / Symbols used: cotangent function / qualifier
 
Defining formula:

cot z 𝑧 {\displaystyle{\displaystyle\cot\NVar{z}}}

\cot@@{\NVar{z}}
Property / Symbols used: cotangent function / qualifier
 
xml-id: C4.S14.E7.m2adec

Revision as of 18:29, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:4.22.E3
No description defined

    Statements

    cot z = 1 z + 2 z n = 1 1 z 2 - n 2 π 2 , 𝑧 1 𝑧 2 𝑧 superscript subscript 𝑛 1 1 superscript 𝑧 2 superscript 𝑛 2 superscript 𝜋 2 {\displaystyle{\displaystyle\cot z=\frac{1}{z}+2z\sum_{n=1}^{\infty}\frac{1}{z% ^{2}-n^{2}\pi^{2}},}}
    0 references
    DLMF:4.22.E3
    0 references
    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2abdec
    0 references
    cot z 𝑧 {\displaystyle{\displaystyle\cot\NVar{z}}}
    C4.S14.E7.m2adec
    0 references