DLMF:19.19.E5 (Q6365)

From DRMF
Revision as of 13:56, 2 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:19.19.E5
No description defined

    Statements

    Defining formula
    T N ⁢ ( 𝟏 𝟐 , 𝐳 ) = ∑ ( - 1 ) M + N ⁢ ( 1 2 ) M ⁢ E 1 m 1 ⁢ ( 𝐳 ) ⁢ ⋯ ⁢ E n m n ⁢ ( 𝐳 ) m 1 ! ⁢ ⋯ ⁢ m n ! , subscript 𝑇 𝑁 1 2 𝐳 superscript 1 𝑀 𝑁 Pochhammer 1 2 𝑀 superscript subscript 𝐸 1 subscript 𝑚 1 𝐳 ⋯ superscript subscript 𝐸 𝑛 subscript 𝑚 𝑛 𝐳 subscript 𝑚 1 ⋯ subscript 𝑚 𝑛 {\displaystyle{\displaystyle T_{N}(\mathbf{\tfrac{1}{2}},\mathbf{z})=\sum(-1)^% {M+N}{\left(\tfrac{1}{2}\right)_{M}}\frac{E_{1}^{m_{1}}(\mathbf{z})\cdots E_{n% }^{m_{n}}(\mathbf{z})}{m_{1}!\cdots m_{n}!},}}
    0 references
    DLMF id
    DLMF:19.19.E5
    0 references
    Symbols used
    Q10759
    Defining formula
    ( a ) n Pochhammer 𝑎 𝑛 {\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}
    xml-id
    C5.S2.SS3.m1acdec
    0 references
    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5aadec
    0 references
    Q11818
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C19.S1.XMD2.m1adec
    0 references
    Q11820
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C19.S1.XMD3.m1ddec
    0 references
    Q11858
    Defining formula
    N 𝑁 {\displaystyle{\displaystyle N}}
    xml-id
    C19.S19.XMD1.m1cdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q6365&oldid=41701"