Which is the difference between US and Europe Approach to Electronic Signature?

There is a marked difference in legal approaches between the United States and the European Union.
U.S. law allows for a broad definition of electronic signatures and does not prescribe a specific technology.
In contrast, the EU eIDAS Regulation distinguishes between three types of electronic signature approaches, and strongly prefers digital signatures for some types of documents.
In addition, there are more prescriptive guidelines for specific government processes which require digital signature.