<p>The general pyramidal scheme of population development is discussed. Particular cases are considered, and pairs of reversible relations are obtained containing three-dimensional combinatorial numbers as coefficients: generalizations of Stirling numbers of the first and second kind, Lah numbers, and Whitney numbers, respectively.</p>

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MATHEMATICAL MODELS OF THE PYRAMIDAL SCHEME OF POPULATION DEVELOPMENT

  • A. A. Balagura,
  • O. V. Kuz’min

摘要

The general pyramidal scheme of population development is discussed. Particular cases are considered, and pairs of reversible relations are obtained containing three-dimensional combinatorial numbers as coefficients: generalizations of Stirling numbers of the first and second kind, Lah numbers, and Whitney numbers, respectively.