That is an early stage of Parkinson's. However it can be part of other neurological disabilities as well. To my knowledge Parkinson's can be recognized at any stage due to a variety of symptoms it presents but the bet person to speak to about this is a neurologist who is a movement disorders specialist.
Aside from resting tremor, the other symptoms of Parkinson's disease are rigidity (muscle stiffness), bradykinesia (slowness of movement), stooped posturing, and loss of automatic movements (including blinking, smiling, and swinging of arms when walking).
Unfortunately, there is no diagnostic test that can confirm Parkinson's disease. With no diagnostic tests to provide specific answers, physicians must base their diagnosis of Parkinson's on judgment.
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