Asymptotic analysis of the Bell polynomials by the ray method
classification
🧮 math.CA
keywords
asymptoticbellmethodpolynomialsaccuracyanalysisanalyzeapproximations
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We analyze the Bell polynomials $B_{n}(x)$ asymptotically as $n\to\infty$. We obtain asymptotic approximations from the differential-difference equation which they satisfy, using a discrete version of the ray method. We give some examples showing the accuracy of our formulas.
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