DLMF:28.12.E9 (Q8306): Difference between revisions

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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
 
test:

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

\expe
Property / Symbols used: base of natural logarithm / qualifier
 
xml-id: C4.S2.E11.m2abdec

Revision as of 13:55, 2 January 2020

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DLMF:28.12.E9
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    Statements

    test
    me ν ⁡ ( z , - q ) = e i ⁢ ν ⁢ π / 2 ⁢ me ν ⁡ ( z - 1 2 ⁢ π , q ) , Mathieu-me 𝜈 𝑧 𝑞 superscript 𝑒 imaginary-unit 𝜈 𝜋 2 Mathieu-me 𝜈 𝑧 1 2 𝜋 𝑞 {\displaystyle{\displaystyle\mathrm{me}_{\nu}\left(z,-q\right)=e^{\mathrm{i}% \nu\pi/2}\mathrm{me}_{\nu}\left(z-\tfrac{1}{2}\pi,q\right),}}
    0 references
    DLMF id
    DLMF:28.12.E9
    0 references
    Symbols used
    Q12299
    test
    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.m2aedec
    0 references
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2acdec
    0 references
    base of natural logarithm
    test
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2abdec
    0 references
     
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