Professional analysis services are where a professional trader provides market analysis to other traders, and other traders then make their trading decisions based on professional analysis. Professional analysis services typically consist of daily analysis for a particular market (eg a particular stock index, or currency, etc.), and are usually provided at the beginning of trading day (often before the market opens).
Professional analysis can be provided in several formats, with the most popular analytics videos (where professionals speak as they show their analysis in their graphs), and bulletin analysis (where text analysis accompanies graphics).
Note that professional analysis differs from market comments, since professional analysis will include specific trade recommendations (eg specific prices for trading) rather than merely commenting on the market in general (eg, they move up or down).