棣莫弗公式是一个关于复数的公式。

法国数学家棣莫弗（Abraham de Moivre，1667年－1754年）于1707年创立了棣莫弗公式，并于1730年发表。

In mathematics, de Moivre's formula (also known as de Moivre's theorem and de Moivre's identity), named after Abraham de Moivre, states that for any complex number (and, in particular, for any real number) x and integer n it holds that

where i is the imaginary unit (i = −1). While the formula was named after de Moivre, he never stated it in his works. The expression cos x + i sin x is sometimes abbreviated to cis x.