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Applications of Generating Functions

Generating functions express a sequence as coefficients arising from a power series in variables. They have many applications in combinatorics and probability. In this paper, we will investigate the important properties of four kinds of generating functions in one variables: ordinary generating unction, exponential generating function, probability generating function and moment generating function. Many examples with applications in combinatorics and probability, will be discussed. Finally, some
well-known contest problems related to generating functions will be addressed.

Identiferoai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0626107-134734
Date26 June 2007
CreatorsTseng, Chieh-Mei
ContributorsMong-Na Lo Huang, Fu-Chuen Chang, Mei-Hui Guo
PublisherNSYSU
Source SetsNSYSU Electronic Thesis and Dissertation Archive
LanguageCholon
Detected LanguageEnglish
Typetext
Formatapplication/pdf
Sourcehttp://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0626107-134734
Rightsnot_available, Copyright information available at source archive

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