![On Proving the Identity of the Product Integral](https://writelatex.s3.amazonaws.com/published_ver/11599.jpeg?X-Amz-Expires=14400&X-Amz-Date=20240727T114530Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240727/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=cfc72476392a1a255f81bc4a342ec1a3dfd3cea6d56c06d51ea195701cd19df4)
On Proving the Identity of the Product Integral
Author
Ivan V. Morozov
Last Updated
há 5 anos
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=20240727T114530Z&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAWJBOALPNFPV7PVH5/20240727/us-east-1/s3/aws4_request&X-Amz-SignedHeaders=host&X-Amz-Signature=cfc72476392a1a255f81bc4a342ec1a3dfd3cea6d56c06d51ea195701cd19df4)