Asymptotics of the Stirling numbers of the first kind revisited: A saddle point approach

Using the saddle point method, we obtain from the generating function of the Stirling numbers of the first kind n j and Cauchy's integral formula, asymptotic results in central and non-central regions. In the central region, we revisit the celebrated Goncharov theorem with more precision. In the region j = n - n , > 1/2, we analyze the dependence of n j on . To Philippe

• Type: Journal
• Year: 2010
• Where: DMTCS
• Authors: Guy Louchard
• Keywords: Celebrated Goncharov, DMTCS 2010, Generating Function, Saddle Point Method, Sensor Networks