Abel-Plana formula (English, name)
expansion: the Abel-Plana formula
Senses:
topics: mathematics
sciences
glosses: 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.
Forms:
form: the Abel-Plana formula
tags: canonical