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About: Mashreghi–Ransford inequality     Goto   Sponge   NotDistinct   Permalink

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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 Here the binomial coefficients are defined by Assume that, for some , we have and as . Then Mashreghi-Ransford showed that , as , where Moreover, there is a universal constant such that The precise value of is still unknown. However, it is known that