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.
Let be a sequence of complex numbers, and let
and
We remind that the binomial coefficients are defined by
Assume that, for some, we have and as. Then
where
Moreover, there is a universal constant such that
The precise value of is unknown. However, it is known that
