DLMF:25.11.E41 (Q7715)

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DLMF:25.11.E41
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    Statements

    Defining formula
    ζ ⁡ ( s , a + 1 ) = ζ ⁡ ( s ) - s ⁢ ζ ⁡ ( s + 1 ) ⁢ a + O ⁡ ( a 2 ) . Hurwitz-zeta 𝑠 𝑎 1 Riemann-zeta 𝑠 𝑠 Riemann-zeta 𝑠 1 𝑎 Big-O superscript 𝑎 2 {\displaystyle{\displaystyle\zeta\left(s,a+1\right)=\zeta\left(s\right)-s\zeta% \left(s+1\right)a+O\left(a^{2}\right).}}
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    DLMF id
    DLMF:25.11.E41
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