THE NUMBER H SUB N OF IDEMPOTENT ELEMENTS IN THE SYMMETRIC SEMIGROUP ON N ELEMENTS AND THE ASYMPTOTIC EXPANSION OF H SUB N.

Abstract

The paper counts the number of idempotent elements H sub n in the symmetric semigroup. The exponential generating function of H sub n is obtained and a number of combinatorial identities and congruences are also given. The asymptotic expansion of H sub n is obtained. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1966
Accession Number
AD0638655

Entities

People

  • Bernard Harris
  • Lowell Schoenfeld

Tags

DTIC Thesaurus Topics

  • Asymptotic Series
  • Identities
  • Mathematical Analysis
  • Mathematics
  • Sequences

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.