DLMF:25.8.E5 (Q7662): Difference between revisions

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imported>Admin
Property / constraint
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| z | < 1 𝑧 1 {\displaystyle{\displaystyle|z|<1}}

|z|<1
Property / constraint: | z | < 1 𝑧 1 {\displaystyle{\displaystyle|z|<1}} / rank
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Normal rank

Revision as of 17:15, 30 December 2019

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DLMF:25.8.E5
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    Statements

    βˆ‘ k = 2 ∞ ΞΆ ⁑ ( k ) ⁒ z k = - Ξ³ ⁒ z - z ⁒ ψ ⁑ ( 1 - z ) , superscript subscript π‘˜ 2 Riemann-zeta π‘˜ superscript 𝑧 π‘˜ 𝑧 𝑧 digamma 1 𝑧 {\displaystyle{\displaystyle\sum_{k=2}^{\infty}\zeta\left(k\right)z^{k}=-% \gamma z-z\psi\left(1-z\right),}}
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    | z | < 1 𝑧 1 {\displaystyle{\displaystyle|z|<1}}
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