Cauchy's inequality is named after Augustin Cauchy
Let z0 be a fixed complex number. If a function f is analytic within and on a circle centered at z0 with radius R, and the values on C of MR are strictly <= |f(z)|

f(n)(z0) <= (n!)(MR)/(r^n)

See also Liouville's Theorem.

Log in or register to write something here or to contact authors.