Formulas for higher derivatives of the Riemann zeta function
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- by Tom M. Apostol PDF
- Math. Comp. 44 (1985), 223-232 Request permission
Abstract:
The functional equation for $\zeta (s)$ is used to obtain formulas for all derivatives ${\zeta ^{(k)}}(s)$. A closed form evaluation of ${\zeta ^{(k)}}(0)$ is given, and numerical values are computed to 15D for $k = 0(1)18$.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Math. Comp. 44 (1985), 223-232
- MSC: Primary 11M06
- DOI: https://doi.org/10.1090/S0025-5718-1985-0771044-5
- MathSciNet review: 771044