English Explanatory Dictionary

Abel-Plana formula

English dictionary entry

Meanings

name
  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.

Word forms

Abel-Plana formula the Abel-Plana formula

Etymology

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

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