发表机构
Vedant College of Engineering and Technololy, (Rajasthan Technical University); Hulunbuir University; Gyeongkuk National University（韦丹特工程技术学院（拉贾斯坦技术大学）; 呼伦贝尔学院; 庆尚国立大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究利用超几何级数方法拓展Kummer第二定理，建立四个经典组合恒等式的广义形式，还得到若干新的组合恒等式作为其特殊情形。
AI 中文摘要
本文旨在拓展Kummer第二定理，并利用超几何级数方法建立四个经典组合恒等式的广义形式，分别是Knuth旧和（又称Reed–Dawson组合恒等式）、Riordan组合恒等式、Gould组合恒等式及Touchard组合恒等式。我们的主要结果的若干特殊情形也会产生新的恒等式。
英文摘要
The objective of this paper is to develop an extension of Kummer's second theorem and to establish generalized forms of four classical combinatorial identities---Knuth's old sum (also known as Reed--Dawson's combinatorial identity), Riordan's combinatorial identity, Gould's combinatorial identity, and Touchard's combinatorial identity---using a hypergeometric-series approach. Several new identities also arise as special cases of our main results.
CommentsSeveral typos were corrected
