I see a lot of different DNA elements mentioned as part of a gene (talking about eukaryotes):

The length of DNA following the promoter is a gene and it contains the recipe for a protein. (video)

This implies that the promotor is not part of the gene.

This actually defines a gene without enhancers/silencers

(source)

Here the gene also includes the enhancers/silencers

Question
Is there an accepted gene definition regarding the DNA elements? Thus which sequences like promotors, enhancers, silencers etc. are considered part of the gene?