DLMF:10.43.E30 (Q3644): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older editNewer edit →
‎Changed an Item: Wikidata Toolkit example test statement addition
‎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.m2ahdec

Revision as of 14:04, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:10.43.E30
No description defined

    Statements

    Defining formula
    f ⁢ ( y ) = 2 ⁢ y π 2 ⁢ sinh ⁡ ( π ⁢ y ) ⁢ ∫ 0 ∞ g ⁢ ( x ) x ⁢ K i ⁢ y ⁡ ( x ) ⁢ d x . 𝑓 𝑦 2 𝑦 superscript 𝜋 2 𝜋 𝑦 superscript subscript 0 𝑔 𝑥 𝑥 modified-Bessel-second-kind 𝑖 𝑦 𝑥 𝑥 {\displaystyle{\displaystyle f(y)=\frac{2y}{\pi^{2}}\sinh\left(\pi y\right)% \int_{0}^{\infty}\frac{g(x)}{x}K_{iy}\left(x\right)\mathrm{d}x.}}
    0 references
    DLMF id
    DLMF:10.43.E30
    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.m2ahdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q3644&oldid=43149"