Heavyside’s operational calculus vs. transforms

[Frabjous]

Are there features of operational calculus (or operator methods) that are advantageous over transforms for DE? I know that the techniques are closely related.

 

[jedishrfu]

I found this discussion on Quora comparing the two:

https://www.quora.com/How-is-operational-calculus-related-to-the-concept-of-Laplace-transforms

and this one from PF circa 2016:

https://www.physicsforums.com/threads/heavisides-operational-calculus-and-laplace-transform.860994/

 

[Frabjous]

I’ve been poking around all day. I think I have convinced myself that there are situations where operation calculus would be useful.

I even found a great quote:
“Even Cambridge mathematicians deserve justice” -O. Heavyside