gamma function

Definitions

A meromorphic function which generalizes the notion of factorial to complex numbers and has singularities at the nonpositive integers; any of certain generalizations or analogues of said function, such as extend the factorial to domains other than the complex numbers.

Equivalents

Examples

“Chapter 3 deals with the p-adic gamma function.”

“2002, M. Aslam Chaudhry, Syed M. Zubair, On a Class of Incomplete Gamma Functions with Applications, Chapman & Hall / CRC Press⟳, page 2, In particular, the exponential, circular, and hyperbolic functions are rational combinations of gamma functions.”

“We select⟳ one mathematical object, the gamma function, and show⟳ how it grew in concept and in content from the time of Euler to the recent mathematical treatise of Bourbaki, and how, in this growth, it partook of the general development of mathematics over the past two and a quarter centuries.”

CEFR level