DLMF:25.11.E3 (Q7677)

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DLMF:25.11.E3
No description defined

    Statements

    Defining formula
    ΞΆ ⁑ ( s , a ) = ΞΆ ⁑ ( s , a + 1 ) + a - s , Hurwitz-zeta 𝑠 π‘Ž Hurwitz-zeta 𝑠 π‘Ž 1 superscript π‘Ž 𝑠 {\displaystyle{\displaystyle\zeta\left(s,a\right)=\zeta\left(s,a+1\right)+a^{-% s},}}
    0 references
    DLMF id
    DLMF:25.11.E3
    0 references
    Symbols used
    Hurwitz zeta function
    Defining formula
    ΞΆ ⁑ ( s , a ) Hurwitz-zeta 𝑠 π‘Ž {\displaystyle{\displaystyle\zeta\left(\NVar{s},\NVar{a}\right)}}
    xml-id
    C25.S11.E1.m2abdec
    0 references
    Q12148
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C25.S1.XMD3.m1adec
    0 references
    Q12161
    Defining formula
    a π‘Ž {\displaystyle{\displaystyle a}}
    xml-id
    C25.S1.XMD6.m1adec
    0 references
    Q12149
    Defining formula
    s 𝑠 {\displaystyle{\displaystyle s}}
    xml-id
    C25.S1.XMD7.m1bdec
    0 references
     
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