Browsing by Author "Yemane, Gediyon"

Now showing 1 - 2 of 2
  • No Thumbnail Available
    Item
    Compactness and Convergence in the Space of Analytic Functions
    (Addis Ababa University, 2011-01) Yemane, Gediyon; Mohamed phd, Seid Asso. Prof.
    This project is a reading material in all Complx Analysis. it deals mainly with the class of Analytic Functions on an open set G. Our purpose is to desc ribe this class of analytic functions is complete metric space with dclincd metric space. As a consequence we prove the SCI of all continuous function is com plete metric space. Let 'F be family of analytic function in a region G. We prove that 'F is a normal famiey. provided that 'F is loca lly bounded. We also briefly discuss applications to the normal families of analytic func tions
  • No Thumbnail Available
    Item
    This is to certify that this project is compiled
    (Addis Ababa University, 2011-01) Yemane, Gediyon; Mohamed, Seid (PhD)
    This project is a reading material in all Complex Analysis. It deals mainly with the class of Analytic Functions on an open set G. Our purpose is to describe this class of analytic functions is complete metric space with defined metric space. As a consequence we prove the set of all continuous function is complete metric space. Let ℱ be family of analytic function in a region G. We prove that ℱ is a normal family, provided that ℱ is locally bounded. We also briefly discuss applications to the normal families of analytic functions