DLMF:5.7.E4 (Q2080): Difference between revisions

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imported>Admin
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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 16:04, 30 December 2019

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DLMF:5.7.E4
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    Statements

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