Left hand elbow pain. Doctors told its tennis elbow. No relief by their medicines.

Depends on what. Medicines they are giving you. Tennis elbow is a pretty easy diagnosis as long as the doc as musculoskeletal experience. The next step after anti-inflammatory meds could be an injection, of either anti-inflammatory med like steroids, or prolo-therapy, which some believe can strengthen the damaged and chronic inflamed tendons. Try bracing as well, as this can help, as well as modifying behaviors.