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Asymptotic Evaluation of the Number of Combinations

In: Combinatorial Enumeration of Groups, Graphs, and Chemical Compounds

Author

Listed:
  • G. Pólya
  • R. C. Read

    (University of Waterloo, Department of Combinatorics and Optimization)

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.

Suggested Citation

  • G. Pólya & R. C. Read, 1987. "Asymptotic Evaluation of the Number of Combinations," Springer Books, in: Combinatorial Enumeration of Groups, Graphs, and Chemical Compounds, chapter 0, pages 75-95, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-4664-0_5
    DOI: 10.1007/978-1-4612-4664-0_5
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