Rounded button with gradient. How to add a blur shadow to it?

Question

Android

It was necessary to make a "stylish" button for the corporate style of the application. Individually, you can achieve what you want, but together I can not collect.
I would initially take the usual MaterialButton, but, unfortunately, you can’t just take and apply a background with a gradient to it.
With the standard Button/AppCompatButton, this is possible, but there is a problem with the usual shadow, not to mention blur.
Ideally you need something like this: