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- Abel–Plana_formula abstract "In mathematics, the Abel–Plana formula is a summation formula discovered independently by Niels Henrik Abel (1823) and Giovanni Antonio Amedeo Plana (1820). It states that It holds for functions f that are holomorphic in the region Re(z) ≥ 0, and satisfy a suitable growth condition in this region; for example it is enough to assume that |f| is bounded by C/|z|1+ε in this region for some constants C, ε > 0, though the formula also holds under much weaker bounds. (Olver 1997, p.290).An example is provided by the Hurwitz zeta function,Abel also gave the following variation for alternating sums:".
- Abel–Plana_formula wikiPageID "37598131".
- Abel–Plana_formula wikiPageRevisionID "569298322".
- Abel–Plana_formula author "Anderson, David".
- Abel–Plana_formula authorlink "Giovanni Antonio Amedeo Plana".
- Abel–Plana_formula authorlink "Niels Henrik Abel".
- Abel–Plana_formula first "Giovanni Antonio Amedeo".
- Abel–Plana_formula first "Niels Henrik".
- Abel–Plana_formula id "Abel-PlanaFormula".
- Abel–Plana_formula last "Abel".
- Abel–Plana_formula last "Plana".
- Abel–Plana_formula title "Abel-Plana Formula".
- Abel–Plana_formula year "1820".
- Abel–Plana_formula year "1823".
- Abel–Plana_formula subject Category:Summability_methods.
- Abel–Plana_formula comment "In mathematics, the Abel–Plana formula is a summation formula discovered independently by Niels Henrik Abel (1823) and Giovanni Antonio Amedeo Plana (1820). It states that It holds for functions f that are holomorphic in the region Re(z) ≥ 0, and satisfy a suitable growth condition in this region; for example it is enough to assume that |f| is bounded by C/|z|1+ε in this region for some constants C, ε > 0, though the formula also holds under much weaker bounds.".
- Abel–Plana_formula label "Abel–Plana formula".
- Abel–Plana_formula label "Fórmula de Abel-Plana".
- Abel–Plana_formula sameAs Abel%E2%80%93Plana_formula.
- Abel–Plana_formula sameAs Fórmula_de_Abel-Plana.
- Abel–Plana_formula sameAs Q4666730.
- Abel–Plana_formula sameAs Q4666730.
- Abel–Plana_formula wasDerivedFrom Abel–Plana_formula?oldid=569298322.