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:: Volume 21, Issue 2 (3-2017) ::
Andishe 2017, 21(2): 63-69 Back to browse issues page
The Order Steps of an Analytic Combinatorics
Abstract:   (4214 Views)

‎Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures‎. ‎This theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines‎, ‎including probability theory‎, ‎statistical physics‎, ‎computational biology and information theory‎. ‎With a careful combination of symbolic enumeration methods‎, ‎complex analysis‎, ‎generating functions and saddle point analysis‎, ‎it can be applied to study of fundamental structures such as permutations‎, ‎sequences‎, ‎strings‎, ‎walks‎, ‎paths‎, ‎trees‎, ‎graphs and maps‎. ‎This paper aims to introduce the order steps of an analytic combinatorics.

Keywords: ‎class‎, ‎generating function‎, ‎Mellin transform‎, ‎Poisson transform‎, ‎saddle point analysis‎.
Full-Text [PDF 223 kb]   (1734 Downloads)    
Type of Study: Applicable | Subject: Special
Received: 2016/12/26 | Accepted: 2017/03/15 | Published: 2017/03/15
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The Order Steps of an Analytic Combinatorics. Andishe 2017; 21 (2) :63-69
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Volume 21, Issue 2 (3-2017) Back to browse issues page
مجله اندیشه آماری Andishe _ye Amari
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