The Euler Gamma Function

Anatolij A. Karatsuba and Melvyn B. Nathanson
Additional contact information
Anatolij A. Karatsuba: Steklov Mathematical Institute
Melvyn B. Nathanson: School of Mathematics, Institute for Advanced Study

Chapter Chapter III in Basic Analytic Number Theory, 1993, pp 41-50 from Springer

Abstract: Abstract The Euler gamma function Γ(s) is defined by the equation $$ \frac{1}{{\Gamma \left( s \right)}} = s{e^{\gamma s}}\prod\limits_{n = 1}^\infty {\left( {1 + \frac{s}{n}} \right)} {e^{ - s/n}}, $$ where γ is Euler’s constant.

Keywords: Natural Number; Entire Function; Simple Property; Analytic Number Theory; Infinite Product (search for similar items in EconPapers)
Date: 1993
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:978-3-642-58018-5_3

Ordering information: This item can be ordered from
http://www.springer.com/9783642580185

DOI: 10.1007/978-3-642-58018-5_3

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 ().