The r-Stirling Numbers.

Abstract

The r-Stirling numbers of the first and second kind count restricted permutations and respectively restricted partitions, the restriction being that the first r elements must be in distinct cycles and respectively distinct subsets. The combinatorial and algebraic properties of these numbers, which in most cases generalize similar properties of the regular Stirling numbers, are explored starting from the above definition. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1982
Accession Number
ADA123472

Entities

People

  • Andrei Z. Broder

Organizations

  • Stanford University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Calculus
  • Coefficients
  • Combinatorial Analysis
  • Computer Programming
  • Computer Science
  • Computers
  • Equations
  • Identities
  • New York
  • Notation
  • Orthogonality
  • Permutations
  • Polynomials
  • Theoretical Computer Science
  • Universities

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science/Meteorology
  • Regression Analysis.
  • Statistical inference.