![On Proving the Identity of the Product Integral](https://writelatex.s3.amazonaws.com/published_ver/11599.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240726T233559Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240726/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=85298a8ac8c2e00f19672575aeba7c2962b6b0eb7038495f1132f4bd7e348ebb)
On Proving the Identity of the Product Integral
Author
Ivan V. Morozov
Last Updated
5年前
License
Creative Commons CC BY 4.0
Abstract
A proof of the product integral using derivatives and and the limit of a difference quotient to certify its identity as an integral of the natural logarithm.
![On Proving the Identity of the Product Integral](https://writelatex.s3.amazonaws.com/published_ver/11599.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240726T233559Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240726/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=85298a8ac8c2e00f19672575aeba7c2962b6b0eb7038495f1132f4bd7e348ebb)