Answer:
Allusions are primarily employed to offer a deeper context and meaning to the work. Eliot in his popular work titled 'The Love Song of J. Alfred Prufrock' alludes to several legendary literary characters in order to explain Prufrock's condition and the state of mind he was going through.
In the lines 'No, I am not Prince Hamlet,' he alludes to Shakespeare's Hamlet in order to display a similar level of awkwardness and doubtfulness possessed by both Prufrock and Hamlet. Although Prufrock is not similar to Hamlet in his exceptionality rather he seems more related to Polonius in terms of their narrowed perception among people. Sometimes, Prufrock is even compared to Jester, the fool as he has constantly failed to express his love to his beloved and remained almost as a dead individual like Jester.