Azure Functions on .net core 3.0
Azure Functions is not available for .NET CORE 3 yet. For more information check here
Update
The Azure Functions 3.0 preview is now available!
Please see this post for instructions on how to use the preview on Azure and how to use the 3.0 tools locally: https://dev.to/azure/develop-azure-functions-using-net-core-3-0-gcm
Update 2
The Azure Functions 3.0 are generally available since December 9, 2019.
For migration instructions refer to docs: https://docs.microsoft.com/en-us/azure/azure-functions/functions-versions
Yesterday (09.12.2019), Microsoft announced the Azure Functions 3.0 go-live release which supports .NET Core 3.1 which has a Long Term Support (LTS).
On March 3, 2020, the Support for .NET Core 3.0 ends - so for anyone reading this, you should use .NET Core 3.1 and Azure Functions 3.0
Further reading: How and why you should upgrade your .NET Azure Functions to 3.0