Analytic functions allow calculations to be performed on sets of rows and return multiple rows of data per record. They are similar to aggregate functions but do not group results. Some common analytic functions discussed include ROW_NUMBER, RANK, DENSE_RANK, LEAD, LAG, FIRST_VALUE, LAST_VALUE. The document also describes functions like LISTAGG, TRANSLATE, REGEXP_LIKE, REGEXP_COUNT, COALESCE, EXTRACT, ADD_MONTHS, INITCAP, INSTR and GREATEST.