Some binomial sums involving absolute values

Richard P. Brent; Hideyuki Ohtsuka; Judy Anne H. Osborn; Helmut Prodinger

Some binomial sums involving absolute values

Richard P. Brent, Hideyuki Ohtsuka, Judy Anne H. Osborn, Helmut Prodinger

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

2 Citations (Scopus)

Abstract

We consider several families of binomial sum identities whose definition involves the absolute value function. In particular, we consider centered double sums of the form (formula presented) obtaining new results in the cases α = 1, 2. We show that there is a close connection between these double sums in the case α = 1 and the single centered binomial sums considered by Tuenter.

Original language	English
Article number	16.3.7
Journal	Journal of Integer Sequences
Volume	19
Issue number	3
Publication status	Published - 6 Apr 2016

Cite this

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title = "Some binomial sums involving absolute values",

abstract = "We consider several families of binomial sum identities whose definition involves the absolute value function. In particular, we consider centered double sums of the form (formula presented) obtaining new results in the cases α = 1, 2. We show that there is a close connection between these double sums in the case α = 1 and the single centered binomial sums considered by Tuenter.",

keywords = "Absolute binomial sum, Binomial sum, Centered binomial sum, Dumont-Foata polynomial, Tuenter polynomial, Vandermonde kernel",

author = "Brent, {Richard P.} and Hideyuki Ohtsuka and Osborn, {Judy Anne H.} and Helmut Prodinger",

year = "2016",

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AU - Brent, Richard P.

AU - Ohtsuka, Hideyuki

AU - Osborn, Judy Anne H.

AU - Prodinger, Helmut

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Y1 - 2016/4/6

N2 - We consider several families of binomial sum identities whose definition involves the absolute value function. In particular, we consider centered double sums of the form (formula presented) obtaining new results in the cases α = 1, 2. We show that there is a close connection between these double sums in the case α = 1 and the single centered binomial sums considered by Tuenter.

AB - We consider several families of binomial sum identities whose definition involves the absolute value function. In particular, we consider centered double sums of the form (formula presented) obtaining new results in the cases α = 1, 2. We show that there is a close connection between these double sums in the case α = 1 and the single centered binomial sums considered by Tuenter.

KW - Absolute binomial sum

KW - Binomial sum

KW - Centered binomial sum

KW - Dumont-Foata polynomial

KW - Tuenter polynomial

KW - Vandermonde kernel

UR - http://www.scopus.com/inward/record.url?scp=84963615091&partnerID=8YFLogxK

M3 - Article

SN - 1530-7638

VL - 19

JO - Journal of Integer Sequences

JF - Journal of Integer Sequences

IS - 3

M1 - 16.3.7

ER -

Some binomial sums involving absolute values

Abstract

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