DLMF:23.9.E7 (Q7297): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12055 / rank
 
Normal rank
Property / Symbols used: Q12055 / qualifier
 
Defining formula:

𝕃 𝕃 {\displaystyle{\displaystyle\mathbb{L}}}

\mathbb{L}
Property / Symbols used: Q12055 / qualifier
 
xml-id: C23.S1.XMD1.m1edec
Property / Symbols used
 
Property / Symbols used: Q12060 / rank
 
Normal rank
Property / Symbols used: Q12060 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q12060 / qualifier
 
xml-id: C23.S1.XMD3.m1ddec
Property / Symbols used
 
Property / Symbols used: Q12061 / rank
 
Normal rank
Property / Symbols used: Q12061 / qualifier
 
Defining formula:

m 𝑚 {\displaystyle{\displaystyle m}}

m
Property / Symbols used: Q12061 / qualifier
 
xml-id: C23.S1.XMD4.m1adec
Property / Symbols used
 
Property / Symbols used: Q12056 / rank
 
Normal rank
Property / Symbols used: Q12056 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q12056 / qualifier
 
xml-id: C23.S1.XMD7.m1bdec
Property / Symbols used
 
Property / Symbols used: Q12073 / rank
 
Normal rank
Property / Symbols used: Q12073 / qualifier
 
Defining formula:

c n subscript 𝑐 𝑛 {\displaystyle{\displaystyle c_{n}}}

c_{n}
Property / Symbols used: Q12073 / qualifier
 
xml-id: C23.S9.XMD1.m1fdec
Property / Symbols used
 
Property / Symbols used: Q12075 / rank
 
Normal rank
Property / Symbols used: Q12075 / qualifier
 
Defining formula:

a m , n subscript 𝑎 𝑚 𝑛 {\displaystyle{\displaystyle a_{m,n}}}

a_{m,n}
Property / Symbols used: Q12075 / qualifier
 
xml-id: C23.S9.XMD3.m1dec

Latest revision as of 15:58, 2 January 2020

No description defined
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English
DLMF:23.9.E7
No description defined

    Statements

    Defining formula
    σ ⁡ ( z ) = ∑ m , n = 0 ∞ a m , n ⁢ ( 10 ⁢ c 2 ) m ⁢ ( 56 ⁢ c 3 ) n ⁢ z 4 ⁢ m + 6 ⁢ n + 1 ( 4 ⁢ m + 6 ⁢ n + 1 ) ! , Weierstrass-sigma-on-lattice 𝑧 𝕃 superscript subscript 𝑚 𝑛 0 subscript 𝑎 𝑚 𝑛 superscript 10 subscript 𝑐 2 𝑚 superscript 56 subscript 𝑐 3 𝑛 superscript 𝑧 4 𝑚 6 𝑛 1 4 𝑚 6 𝑛 1 {\displaystyle{\displaystyle\sigma\left(z\right)=\sum_{m,n=0}^{\infty}a_{m,n}(% 10c_{2})^{m}(56c_{3})^{n}\frac{z^{4m+6n+1}}{(4m+6n+1)!},}}
    0 references
    DLMF id
    DLMF:23.9.E7
    0 references
    Symbols used
    DLMF:23.2.E6
    Defining formula
    σ ⁡ ( z ) Weierstrass-sigma-on-lattice 𝑧 𝕃 {\displaystyle{\displaystyle\sigma\left(\NVar{z}\right)}}
    xml-id
    C23.S2.E6.m2adec
    0 references
    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5adec
    0 references
    Q12055
    Defining formula
    𝕃 𝕃 {\displaystyle{\displaystyle\mathbb{L}}}
    xml-id
    C23.S1.XMD1.m1edec
    0 references
    Q12060
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C23.S1.XMD3.m1ddec
    0 references
    Q12061
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C23.S1.XMD4.m1adec
    0 references
    Q12056
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C23.S1.XMD7.m1bdec
    0 references
    Q12073
    Defining formula
    c n subscript 𝑐 𝑛 {\displaystyle{\displaystyle c_{n}}}
    xml-id
    C23.S9.XMD1.m1fdec
    0 references
    Q12075
    Defining formula
    a m , n subscript 𝑎 𝑚 𝑛 {\displaystyle{\displaystyle a_{m,n}}}
    xml-id
    C23.S9.XMD3.m1dec
    0 references
     
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