DLMF:28.12.E5 (Q8302): 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: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
Defining formula:

d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1adec

Revision as of 14:54, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:28.12.E5
No description defined

    Statements

    Defining formula
    ∫ 0 π me ν ⁡ ( x , q ) ⁢ me ν ⁡ ( - x , q ) ⁢ d x = π . superscript subscript 0 𝜋 Mathieu-me 𝜈 𝑥 𝑞 Mathieu-me 𝜈 𝑥 𝑞 𝑥 𝜋 {\displaystyle{\displaystyle\int_{0}^{\pi}\mathrm{me}_{\nu}\left(x,q\right)% \mathrm{me}_{\nu}\left(-x,q\right)\mathrm{d}x=\pi.}}
    0 references
    DLMF id
    DLMF:28.12.E5
    0 references
    Symbols used
    Q12299
    Defining formula
    me n ⁡ ( z , q ) Mathieu-me 𝑛 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{me}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}}
    xml-id
    C28.S12.SS2.p2.m2aadec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2adec
    0 references
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1adec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q8302&oldid=52123"