Word.ws English Dictionary

Abel-Plana formula

Abel-Plana formula proper noun: a summation formula stating that ∑ₙ₌₀ ᪲f(a+n)=∫ₐ ᪲f(x)dx+(f(a))/2+∫₀ ᪲(f(a-ix)-f(a+ix))/(i(e^(2πx)-1))dx.

Proper noun

the Abel-Plana formula

  1. A summation formula stating that ∑ₙ₌₀ ᪲f(a+n)=∫ₐ ᪲f(x)dx+(f(a))/2+∫₀ ᪲(f(a-ix)-f(a+ix))/(i(e^(2πx)-1))dx.

Origin of Abel-Plana formula

Discovered independently by Niels Henrik Abel (1823) and Giovanni Antonio Amedeo Plana (1820).

Questions about Abel-Plana formula

What does Abel-Plana formula mean?
Abel-Plana formula means a summation formula stating that ∑ₙ₌₀ ᪲f(a+n)=∫ₐ ᪲f(x)dx+(f(a))/2+∫₀ ᪲(f(a-ix)-f(a+ix))/(i(e^(2πx)-1))dx.
What part of speech is Abel-Plana formula?
Abel-Plana formula is a proper noun.

Words near Abel-Plana formula in the dictionary

  1. Abel's irreducibility theorem
  2. Abel's summation formula
  3. Abel's theorem
  4. Abel-Jacobi map
  5. Abel-Jacobi-Liouville identity
  6. Abel-Plana formula
  7. Abel-Ruffini theorem
  8. Abela
  9. abelacimab
  10. Abelam
  11. Abelams

Source and license

Adapted from Wiktionary: Abel-Plana formula (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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Cite this entry: “Abel-Plana formula.” Word.ws, https://word.ws/abel-plana_formula. Based on Wiktionary, CC BY-SA 4.0.