Generating functions for vector partition functions and a basic recurrence relation.

Autor:	Lyapin, Alexander P., Chandragiri, Sreelatha
Předmět:	PARTITION functions VECTOR valued functions GENERATING functions COMBINATORICS HYPERGEOMETRIC series BERNOULLI numbers
Zdroj:	Journal of Difference Equations & Applications; Jul2019, Vol. 25 Issue 7, p1052-1061, 10p
Abstrakt:	We define a generalized vector partition function and derive an identity for the generating series of such functions associated with solutions to basic recurrence relations of combinatorial analysis. As a consequence we obtain the generating function of the number of generalized lattice paths and a new version of the Chaundy-Bullard identity for the vector partition function. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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