2014•Applied Mechanics and MaterialsRequires access

Summations of Inverse Generalized Harmonic Numbers with Riordan Arrays

Gao Wen Xi, Zheng Ping Zhang

Abstract

By observing that the infinite triangle obtained from some generalized harmonic numbers follows a Riordan array, we using connections between the Stirling numbers of both kinds and other inverse generalized harmonic numbers. we proved some combinatorial sums and inverse generalized harmonic number identities.

About this research paper

What this paper is about

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Harmonic number, Inverse, Mathematics, Harmonic, Generalized inverse, Stirling number, Stirling numbers of the first kind, Inverse problem