Accession Number : AD0638655

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

Descriptive Note : Technical summary rept.

Corporate Author : MATHEMATICS RESEARCH CENTER UNIV OF WISCONSIN MADISON

Personal Author(s) : Harris,Bernard ; Schoenfeld,Lowell

Report Date : FEB 1966

Pagination or Media Count : 36

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)

Descriptors :   (*ASYMPTOTIC SERIES, *GROUPS(MATHEMATICS)), IDENTITIES, COMBINATORIAL ANALYSIS, EXPONENTIAL FUNCTIONS, GRAPHICS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE