ScholarLens Back to search
2015•arXiv (Cornell University)Open access

Hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions

Alyson Deines, Jenny G. Fuselier, Линг Лонг, Holly Swisher, Fang-Ting Tu

Open full text 5 citations

Abstract

In this paper, we investigate the relationships among hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions through some families of `hypergeometric' algebraic varieties that are higher dimensional analogues of Legendre curves.

Open-access reader

About this research paper

What this paper is about

In this paper, we investigate the relationships among hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions through some families of `hypergeometric' algebraic varieties that are higher dimensional analogues of Legendre curves.

Why it matters

OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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

In this paper, we investigate the relationships among hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions through some families of `hypergeometric' algebraic varieties that are higher dimensional analogues of Legendre curves.

Key concepts: Basic hypergeometric series, Bilateral hypergeometric series, Hypergeometric function of a matrix argument, Generalized hypergeometric function, Hypergeometric identity, Confluent hypergeometric function, Appell series, Lauricella hypergeometric series

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions — Research Paper | ScholarLens