A hydrogen injection scheme can be employed via use of one or more injectors for injecting hydrogen to help entrain local mass while also generating local turbulence that can enhance mixing with a mixture of air and fuel to facilitate enhanced lean combustion, lower peak flame temperatures of combustion, and reduce nitrous oxide (NOx) emissions from the combustion of fuel. In some embodiments, the hydrogen can be injected to help transport heat released during combustion away from the injector to help avoid injector overheating as well. Different injectors can be utilized to provide a desired hydrogen injection scheme for a particular set of design and operational criteria for a gas turbine system or at least one combustion system that can be utilized in a gas turbine system.