DLMF:28.12.E13 (Q8311): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: imaginary unit / rank
 
Normal rank
Property / Symbols used: imaginary unit / qualifier
 
Defining formula:

i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}

\iunit
Property / Symbols used: imaginary unit / qualifier
 
xml-id: C1.S9.E1.m2addec

Revision as of 14:55, 2 January 2020

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DLMF:28.12.E13
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    Statements

    Defining formula
    se ν ⁡ ( z , q ) = - 1 2 ⁢ i ⁢ ( me ν ⁡ ( z , q ) - me ν ⁡ ( - z , q ) ) . Mathieu-se 𝜈 𝑧 𝑞 1 2 imaginary-unit Mathieu-me 𝜈 𝑧 𝑞 Mathieu-me 𝜈 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{se}_{\nu}\left(z,q\right)=-\tfrac{1}{2}% \mathrm{i}\left(\mathrm{me}_{\nu}\left(z,q\right)-\mathrm{me}_{\nu}\left(-z,q% \right)\right).}}
    0 references
    DLMF id
    DLMF:28.12.E13
    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.m2aidec
    0 references
    Q12286
    Defining formula
    se n ⁡ ( z , q ) Mathieu-se 𝑛 𝑧 𝑞 {\displaystyle{\displaystyle\mathrm{se}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}}
    xml-id
    C28.S2.SS6.p1.m8aadec
    0 references
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2addec
    0 references
     
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