Loading AI tools
Summation method for some divergent series From Wikipedia, the free encyclopedia
Euler–Boole summation is a method for summing alternating series. The concept is named after Leonhard Euler and George Boole. Boole published this summation method, using Euler's polynomials, but the method itself was likely already known to Euler.[1][2]
Euler's polynomials are defined by[1]
The periodic Euler functions modify these by a sign change depending on the parity of the integer part of :[1]
The Euler–Boole formula to sum alternating series is
Seamless Wikipedia browsing. On steroids.
Every time you click a link to Wikipedia, Wiktionary or Wikiquote in your browser's search results, it will show the modern Wikiwand interface.
Wikiwand extension is a five stars, simple, with minimum permission required to keep your browsing private, safe and transparent.