Gregory number

From formulasearchengine
Jump to navigation Jump to search

In mathematics, a Gregory number, named after James Gregory, is a real number of the form:[1]

where x is any rational number greater or equal to 1. Considering the power series expansion for arctangent, we have

Setting x = 1 gives the well-known Leibniz formula for pi.

See also

References

  1. {{#invoke:citation/CS1|citation |CitationClass=book }}

Template:Numtheory-stub