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

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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

Author(s):
Harris, Bernard ; Schoenfeld, Lowell
Author Organization(s):
MATHEMATICS RESEARCH CENTER UNIV OF WISCONSIN MADISON
Descriptive Note:
Technical summary rept.
Pagination:
0036

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
MRC-TSR-607
Contract/Grant Number(s):
DA-11-022-ORD-2059
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
(*ASYMPTOTIC SERIES, *GROUPS(MATHEMATICS)), IDENTITIES, COMBINATORIAL ANALYSIS, EXPONENTIAL FUNCTIONS, GRAPHICS
Field(s)/Group(s):
Theoretical Mathematics
Report Date:
1966 Feb 01