Some asymptotic results on q-binomial coefficients
classification
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math.AC
keywords
coefficientsasymptoticpolynomialsresultssomebehaviorbinombinomial
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We look at the asymptotic behavior of the coefficients of the $q$-binomial coefficients (or Gaussian polynomials) $\binom{a+k}{k}_q$, when $k$ is fixed. We give a number of results in this direction, some of which involve Eulerian polynomials and their generalizations.
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