Publication Date:
2004-01-01
Description:
Utilizing a method briefly hinted in the author's paper written in 1991 jointly with V. C. Harris, we derive here a number of unpublished recursion formulae for a variety of product partition functions which we believe have not been considered before in the literature. These include the functionsp*(n;k,h)(which stands for the number of product partitions ofn〉1intokparts of whichhare distinct), andp(d)*(n;m)(which stands for the number of product partitions ofninto exactlymparts with at mostdrepetitions of any part). We also derive recursion formulae for certain product partition functions without the use of generating functions.
Print ISSN:
0161-1712
Electronic ISSN:
1687-0425
Topics:
Mathematics
Permalink