Speakur

Word Pronunciation & Dictionary

abel-plana formula

Word Rarity Very rare

Frequency: 2.00 in modern English

Syllables
abel--plana -for-mu-la
IPA
25
Scrabble Score
16
Letters
6
Syllables
11
Unique Chars

Meaning

name

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.

Etymology

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

Inflected Forms

the Abel-Plana formula (canonical)

Questions

What does abel-plana formula mean?
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.
Where does abel-plana formula come from?
Discovered independently by Niels Henrik Abel (1823) and Giovanni Antonio Amedeo Plana (1820).

How to pronounce abel-plana formula

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