Asymptotic Evaluation of the Number of Combinations

G. Pólya and R. C. Read
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R. C. Read: University of Waterloo, Department of Combinatorics and Optimization

Chapter Chapter 4 in Combinatorial Enumeration of Groups, Graphs, and Chemical Compounds, 1987, pp 75-95 from Springer

Abstract: Abstract In the preceding section, we have established the importance of the power series q(x), r(x), s(x), t(x) in combinatorics. Here we examine their analytical properties: radius of convergence, singularities on the circle of convergence, analytic continuation. We derive these characteristics from the functional equations whose solutions these series present. I start with a summary of the equations and some notations.

Keywords: Singular Point; Power Series; Unit Disk; Analytic Continuation; Asymptotic Formula (search for similar items in EconPapers)
Date: 1987
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-4664-0_5

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DOI: 10.1007/978-1-4612-4664-0_5

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