Gauss Hypergeometric Function

Daniel Duverney

Chapter Chapter 4 in An Introduction to Hypergeometric Functions, 2024, pp 105-149 from Springer

Abstract: Abstract Gauss hypergeometric function 2 F 1 $${ }_{2}F_{1} $$ is the most important of all hypergeometric functions and the one which has been the most largely studied. In Sects. 4.1 and 4.2, we present its first properties, which are special cases of the general properties of hypergeometric functions. In Sect. 4.3, we give the 24 Kummer’s solutions of the Gauss hypergeometric equation. This enables us to prove in Sects. 4.4, 4.5, and 4.6 some transformation and summation formulas.

Date: 2024
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-65144-1_4

Ordering information: This item can be ordered from
http://www.springer.com/9783031651441

DOI: 10.1007/978-3-031-65144-1_4

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().