DLMF:4.22.E2 (Q1749): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older editNewer edit →
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: cosine function / rank
 
Normal rank
Property / Symbols used: cosine function / qualifier
 
Defining formula:

cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}

\cos@@{\NVar{z}}
Property / Symbols used: cosine function / qualifier
 
xml-id: C4.S14.E2.m2adec

Revision as of 18:29, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:4.22.E2
No description defined

    Statements

    Defining formula
    cos ⁡ z = ∏ n = 1 ∞ ( 1 - 4 ⁢ z 2 ( 2 ⁢ n - 1 ) 2 ⁢ π 2 ) . 𝑧 superscript subscript product 𝑛 1 1 4 superscript 𝑧 2 superscript 2 𝑛 1 2 superscript 𝜋 2 {\displaystyle{\displaystyle\cos z=\prod_{n=1}^{\infty}\left(1-\frac{4z^{2}}{(% 2n-1)^{2}\pi^{2}}\right).}}
    0 references
    DLMF id
    DLMF:4.22.E2
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aadec
    0 references
    cosine function
    Defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2adec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q1749&oldid=27359"