Generating functions for vector partition functions and a basic recurrence relation

DOI10.1080/10236198.2019.1649396zbMath1423.05017arXiv1907.12073OpenAlexW3101381764MaRDI QIDQ5239037

A. P. Lyapin, Sreelatha Chandragiri

Publication date: 21 October 2019

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.12073

zbMATH Keywords

generating functionvector partition functionChaundy-Bullard identitybasic recurrence relation

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Related Items

Generating function of the solution of a difference equation and the Newton polyhedron of the characteristic polynomial, Multidimensional analogues of the Euler-Maclaurin summation formula and the Borel transform of power series, Solving the Cauchy problem for a three-dimensional difference equation in a parallelepiped, Sections of the generating series of a solution to a difference equation in a simplicial cone, Counting lattice paths by using difference equations with non-constant coefficients, Riordan arrays and difference equations of subdiagonal lattice paths, Unnamed Item, Unnamed Item, Difference Equations and Generating Functions for some Lattice Path Problems, The Cauchy Problem for Multidimensional Difference Equations in Lattice Cones

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Combinatorial identity from the theory of integral representations in \(\mathbb C^n\)
• Generalized Dyck paths
• On an identity by Chaundy and Bullard. I
• Linear recurrences with constant coefficients: The multivariate case
• On vector partition functions
• On an identity by Chaundy and Bullard. II: More history
• On identities with polynomial coefficients
• Solvability of the Cauchy problem for a polynomial difference operator and monomial bases for the quotients of a polynomial ring
• Ten Lectures on Wavelets
• Residue formulae, vector partition functions and lattice points in rational polytopes
• John Smith’s Problem