Compactness And Convergence In The Space Of Analytic Functions

This project is a reading material in all Complx Analysis. it deals mainly with the classrnof Analytic Functions on an open set G.rnOur purpose is to desc ribe this class of analytic functions is complete metric space withrndclincd metric space. As a consequence we prove the SCI of all continuous function isrncom plete metric space.rnLet 'F be family of analytic function in a region G. We prove that 'F is a normal rnfamiey.rnprovided that 'F is loca lly bounded.rnWe also briefly discuss applications to the normal families of analytic func tions

Get Full Work

Report copyright infringement or plagiarism