Microsoft has been running technical previews of App Service on Azure Stack for more than a year and just yesterday announced its general availability (along with Azure Functions) on Azure Stack.

Going forward, the .NET on Azure functions roadmap shows various items and initiatives in different stages. In the public preview (dev/test) stage -- along with the isolated worker support announced ...

In addition, the release also includes the Azure App Service, Microsoft’s cloud tools for quickly developing cloud-centric applications, as well as updated versions of Azure’s SQL/MySQL ...

There are direct bindings to key Azure services, simplifying building a Functions-based PaaS application or using a Function to control and trigger other Azure-hosted applications.