DLMF:28.20.E16 (Q8348): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12291 / rank
 
Normal rank
Property / Symbols used: Q12291 / qualifier
 
Defining formula:

j 𝑗 {\displaystyle{\displaystyle j}}

j
Property / Symbols used: Q12291 / qualifier
 
xml-id: C28.S1.XMD3.m1adec
Property / Symbols used
 
Property / Symbols used: Q12272 / rank
 
Normal rank
Property / Symbols used: Q12272 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q12272 / qualifier
 
xml-id: C28.S1.XMD6.m1ndec

Latest revision as of 15:02, 2 January 2020

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DLMF:28.20.E16
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    Statements

    Defining formula
    Ms n ( j ) ⁡ ( z , h ) = ( - 1 ) n ⁢ M - n ( j ) ⁡ ( z , h ) , modified-Mathieu-Ms 𝑗 𝑛 𝑧 ℎ superscript 1 𝑛 modified-Mathieu-M 𝑗 𝑛 𝑧 ℎ {\displaystyle{\displaystyle{\mathrm{Ms}^{(j)}_{n}}\left(z,h\right)=(-1)^{n}{% \mathrm{M}^{(j)}_{-n}}\left(z,h\right),}}
    0 references
    DLMF id
    DLMF:28.20.E16
    0 references
    constraint
    n = 1 , 2 , … 𝑛 1 2 … {\displaystyle{\displaystyle n=1,2,\dots}}
    0 references
    Symbols used
    Q12301
    Defining formula
    M ν ( j ) ⁡ ( z , h ) modified-Mathieu-M 𝑗 𝜈 𝑧 ℎ {\displaystyle{\displaystyle{\mathrm{M}^{(\NVar{j})}_{\NVar{\nu}}}\left(\NVar{% z},\NVar{h}\right)}}
    xml-id
    C28.S20.SS3.p1.m4agdec
    0 references
    Q12294
    Defining formula
    h ℎ {\displaystyle{\displaystyle h}}
    xml-id
    C28.S1.XMD11.m1hdec
    0 references
    Q12279
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C28.S1.XMD2.m1cdec
    0 references
    Q12291
    Defining formula
    j 𝑗 {\displaystyle{\displaystyle j}}
    xml-id
    C28.S1.XMD3.m1adec
    0 references
    Q12272
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C28.S1.XMD6.m1ndec
    0 references
     
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