Asy2dim: a Package for Nding Asymptotics for Convolution Matrices

نویسندگان

  • Donatella Merlini
  • Renzo Sprugnoli
  • M. Cecilia Verri
چکیده

We present a method for obtaining asymptotics for the generic element of a two-dimensional convolution matrix which includes Stirling numbers of both kinds and some other interesting combinatorial quantities. Asy2dim is a computer algebra package which implement this method. The current version of Asy2dim is written in Maple V.3 2]. R esum e Nous pr esentons une m ethode pour calculer l' evaluation asymptotique d'un g en erique el ement d'une matrice de convolution a deux dimensions. Cette classe d' el ements comprend, avec plusieurs quantit es combinatoires, les nombres de Stirling de premi ere et deuxi eme esp ece. Asy2dim est un logiciel, developp e en Maple V.3 2], qui r ealise cette m ethode.

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تاریخ انتشار 2007