Mashreghi–Ransford inequality

In Mathematics, the Mashreghi–Ransford inequality is a bound on the growth rate of certain sequences.

It is named after J. Mashreghi and T. Ransford.

be a sequence of complex numbers, and let and Here the binomial coefficients are defined by Assume that, for some

β > 1

β

β

Then Mashreghi-Ransford showed that where

β

Moreover, there is a universal constant