DLMF:28.12.E6 (Q8303): Difference between revisions

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‎Changed an Item: Add constraint
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Property / Symbols used
 
Property / Symbols used: base of natural logarithm / rank
 
Normal rank
Property / Symbols used: base of natural logarithm / qualifier
 
Defining formula:

e {\displaystyle{\displaystyle\mathrm{e}}}

\expe
Property / Symbols used: base of natural logarithm / qualifier
 
xml-id: C4.S2.E11.m2aadec

Revision as of 14:54, 2 January 2020

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English
DLMF:28.12.E6
No description defined

    Statements

    Defining formula
    me ν ⁡ ( z + π , q ) = e π ⁢ i ⁢ ν ⁢ me ν ⁡ ( z , q ) , Mathieu-me 𝜈 𝑧 𝜋 𝑞 superscript 𝑒 𝜋 imaginary-unit 𝜈 Mathieu-me 𝜈 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{me}_{\nu}\left(z+\pi,q\right)=e^{\pi% \mathrm{i}\nu}\mathrm{me}_{\nu}\left(z,q\right),}}
    0 references
    DLMF id
    DLMF:28.12.E6
    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.m2abdec
    0 references
    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
    base of natural logarithm
    Defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2aadec
    0 references
     
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