Dr. Alexander Aisman, one of the best known urologists in the United States, and associate urologist in the Jewish Hospital, Brooklyn, was buried yesterday at Mount Hebron Cemetery. Dr. Aisman died Saturday at his home at the age of 39. He had been ill for some time. A native of Russia, he came here as a child and received his professional training at Bellevue Medical College. For 18 years he had been a member of the medical staff of the Jewish Hospital.