A note on a generalization of two well-known combinatorial identities via a hypergeometric series approach

Arjun K. Rathie; Insuk Kim; Richard B. Paris

A note on a generalization of two well-known combinatorial identities via a hypergeometric series approach

Arjun K. Rathie, Insuk Kim^*, Richard B. Paris

^*Corresponding author for this work

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

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Abstract

In this note, we aim to provide generalizations of (i) Knuth’s old sums (or Reed Dawson’s identities) and (ii) Riordan’s identities, using a hypergeometric series approach.

Original language	English
Article number	A28
Number of pages	6
Journal	Integers
Volume	22
Publication status	Published - 28 Feb 2022

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@article{cf54eefd9d4e4acb93c306bd95f545fd,

title = "A note on a generalization of two well-known combinatorial identities via a hypergeometric series approach",

abstract = "In this note, we aim to provide generalizations of (i) Knuth{\textquoteright}s old sums (or Reed Dawson{\textquoteright}s identities) and (ii) Riordan{\textquoteright}s identities, using a hypergeometric series approach.",

author = "Rathie, {Arjun K.} and Insuk Kim and Paris, {Richard B.}",

note = "Funding Information: Acknowledgements. The research work of Insuk Kim was supported by Wonkwang University in 2021. Publisher Copyright: Article is licensed under a Creative Commons Attribution 4.0 International License.",

year = "2022",

month = feb,

day = "28",

language = "English",

volume = "22",

journal = "Integers",

issn = "1553-1732",

publisher = "Colgate University",

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T1 - A note on a generalization of two well-known combinatorial identities via a hypergeometric series approach

AU - Rathie, Arjun K.

AU - Kim, Insuk

AU - Paris, Richard B.

N1 - Funding Information: Acknowledgements. The research work of Insuk Kim was supported by Wonkwang University in 2021. Publisher Copyright: Article is licensed under a Creative Commons Attribution 4.0 International License.

PY - 2022/2/28

Y1 - 2022/2/28

N2 - In this note, we aim to provide generalizations of (i) Knuth’s old sums (or Reed Dawson’s identities) and (ii) Riordan’s identities, using a hypergeometric series approach.

AB - In this note, we aim to provide generalizations of (i) Knuth’s old sums (or Reed Dawson’s identities) and (ii) Riordan’s identities, using a hypergeometric series approach.

M3 - Article

AN - SCOPUS:85127491502

SN - 1553-1732

VL - 22

JO - Integers

JF - Integers

M1 - A28

ER -

A note on a generalization of two well-known combinatorial identities via a hypergeometric series approach

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