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DMTCS
2010
128views Mathematics» more  DMTCS 2010»
15 years 3 months ago
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 centr...
Guy Louchard
DMTCS
2010
145views Mathematics» more  DMTCS 2010»
15 years 3 months ago
Asymptotic enumeration of orientations
We find the asymptotic number of 2-orientations of quadrangulations with n inner faces, and of 3orientations of triangulations with n inner vertices. We also find the asymptotic n...
Stefan Felsner, Éric Fusy, Marc Noy
DMTCS
2010
163views Mathematics» more  DMTCS 2010»
15 years 3 months ago
On Uniform Recurrence of a Direct Product
A direct product of two words is a naturally defined word on the alphabet of pairs of symbols. We introduce the class URP of uniformly recurrent words such that a direct product o...
Pavel Vadimovich Salimov
DMTCS
2010
416views Mathematics» more  DMTCS 2010»
15 years 3 months ago
Continued fraction expansions for q-tangent and q-cotangent functions
Abstract. For 3 different versions of q-tangent resp. q-cotangent functions, we compute the continued fraction expansion explicitly, by guessing the relative quantities and proving...
Helmut Prodinger