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

5 Citations (Scopus)

123 Downloads (Pure)

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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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.\}",

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language = "English",

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journal = "Integers",

issn = "1553-1732",

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AU - Rathie, Arjun K.

AU - Kim, Insuk

AU - Paris, Richard B.

N1 - ©2022 the Authors. An author's Work is licensed under a Creative Commons Attribution 4.0 International License so that all content is freely available without charge to the users or their institutions. Users are allowed to read, download, copy, distribute, print, search, or link to the full texts of the articles in this journal without asking prior permission from the publisher or the author. Data availability statement: Not present.

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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