Hot start

Occurs when the engine starts, but the exhaust gas temperature exceeds specified limits. This is usually caused by an excessively rich air-fuel mixture entering the combustion chamber.

Aviation Maintenance Technician Handbook — General, p. G-5

Also defined in 1 more source

In gas turbine engines, a start which occurs with normal engine rotation, but exhaust temperature exceeds prescribed limits. This is usually caused by an excessively rich mixture in the combustor. The fuel to the engine must be terminated immediately to prevent engine damage.

Pilot's Handbook of Aeronautical Knowledge, p. G-14