Mashreghi–Ransford inequality
id:
mashreghi-ransford-inequality-198-6950810
title:
Mashreghi–Ransford inequality
text:
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 n ≥ 0 be a sequence of complex numbers, and let and Here the binomial coefficients are defined by Assume that, for some β > 1 , we have b n = O and c n = O as n → ∞ . Then Mashreghi-Ransford showed that where α = β 2 − 1 . Moreover, there is a universal constant κ such that The precise value of κ is still unknown. However, it is known that
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https://en.wikipedia.org/wiki/Mashreghi%E2%80%93Ransford_inequality
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date modified:
2023-01-03T08:41:37Z
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