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DLMF:23.17.E7 - MaRDI portal

DLMF:23.17.E7 (Q8042)

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DLMF:23.17.E7
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    Statements

    DLMF defining formula
    λ ⁡ ( τ ) = 16 ⁢ q ⁢ ∏ n = 1 ∞ ( 1 + q 2 ⁢ n 1 + q 2 ⁢ n - 1 ) 8 , modular-Lambda 𝜏 16 𝑞 superscript subscript product 𝑛 1 superscript 1 superscript 𝑞 2 𝑛 1 superscript 𝑞 2 𝑛 1 8 {\displaystyle{\displaystyle\lambda\left(\tau\right)=16q\prod_{n=1}^{\infty}% \left(\frac{1+q^{2n}}{1+q^{2n-1}}\right)^{8},}}
    0 references
    Symbols used
    elliptic modular function
    DLMF defining formula
    λ ⁡ ( τ ) modular-Lambda 𝜏 {\displaystyle{\displaystyle\lambda\left(\NVar{\tau}\right)}}
    xml-id
    C23.S15.E6.m2abdec
    0 references
    nome
    DLMF defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C23.S1.XMD10.m1cdec
    0 references
    integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C23.S1.XMD3.m1adec
    0 references
    complex variable
    DLMF defining formula
    τ 𝜏 {\displaystyle{\displaystyle\tau}}
    xml-id
    C23.S1.XMD9.m1cdec
    0 references

    Identifiers

     
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