![On Proving the Integral Definition of the Gamma Function for Non-Negative Real Numbers](https://writelatex.s3.amazonaws.com/published_ver/11027.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240705T072307Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240705/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=0822b7ff9d85243ca848ff864bf35e6087e3303269468a25325cc0a1abf22ed6)
On Proving the Integral Definition of the Gamma Function for Non-Negative Real Numbers
Author
Ivan V. Morozov
Last Updated
5年前
License
Creative Commons CC BY 4.0
Abstract
A proof of the improper integral that defines the gamma function that I have derived for \(R \geq 0\).
![On Proving the Integral Definition of the Gamma Function for Non-Negative Real Numbers](https://writelatex.s3.amazonaws.com/published_ver/11027.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240705T072307Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240705/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=0822b7ff9d85243ca848ff864bf35e6087e3303269468a25325cc0a1abf22ed6)