A generalized q-multinomial Vandermonde convolution

Robert A. Sulanke

doi:10.1016/0097-3165(81)90051-0

A generalized q-multinomial Vandermonde convolution

Robert A. Sulanke

Mathematics Department

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Bender's generalization of the q-binomial Vandermonde convolution is reformulated with weaker constraints. This and a similar convolution for q-multinomial coefficients are proved by interpreting the coefficients as generating functions that enumerate multidimensional lattice paths.

Original language	English
Pages (from-to)	33-42
Number of pages	10
Journal	Journal of Combinatorial Theory, Series A
Volume	31
Issue number	1
DOIs	https://doi.org/10.1016/0097-3165(81)90051-0
State	Published - Jul 1981

Access to Document

10.1016/0097-3165(81)90051-0

Cite this

@article{dd885f0539b740c091667e7dc6cdee3a,

title = "A generalized q-multinomial Vandermonde convolution",

abstract = "Bender's generalization of the q-binomial Vandermonde convolution is reformulated with weaker constraints. This and a similar convolution for q-multinomial coefficients are proved by interpreting the coefficients as generating functions that enumerate multidimensional lattice paths.",

author = "Sulanke, \{Robert A.\}",

year = "1981",

month = jul,

doi = "10.1016/0097-3165(81)90051-0",

language = "English",

volume = "31",

pages = "33--42",

number = "1",

}

TY - JOUR

T1 - A generalized q-multinomial Vandermonde convolution

AU - Sulanke, Robert A.

PY - 1981/7

Y1 - 1981/7

N2 - Bender's generalization of the q-binomial Vandermonde convolution is reformulated with weaker constraints. This and a similar convolution for q-multinomial coefficients are proved by interpreting the coefficients as generating functions that enumerate multidimensional lattice paths.

AB - Bender's generalization of the q-binomial Vandermonde convolution is reformulated with weaker constraints. This and a similar convolution for q-multinomial coefficients are proved by interpreting the coefficients as generating functions that enumerate multidimensional lattice paths.

UR - https://www.scopus.com/pages/publications/49049150101

U2 - 10.1016/0097-3165(81)90051-0

DO - 10.1016/0097-3165(81)90051-0

M3 - Article

AN - SCOPUS:49049150101

SN - 0097-3165

VL - 31

SP - 33

EP - 42

JO - Journal of Combinatorial Theory, Series A

JF - Journal of Combinatorial Theory, Series A

IS - 1

ER -

A generalized q-multinomial Vandermonde convolution

Abstract

Access to Document

Other files and links

Fingerprint

Cite this