How to save user made zsh shell functions and aliases

You could put your compilation commandline in a bash script, which sources the compilation scripts bevor executing the compilation command.

Something like

    #!/bin/bash
    . /path/to/environmentscript
    . /path/to/morefunctionsscript

    compile_command

Then instead of invoking compile_command by hand, you just invoke your new bash script.

With cheating by looking at the _functions completion function, I'm able to answer your question:

The functions are stored in an associative array functions, so to get only the function names (k flag for keys) in alphabetical order (o flag for ordering) you can use

print -l ${(ok)functions}