The rarity and dispersion of analytic functions with certain cluster sets

References

• Arakeljan , N.U. 1968 . Uniform and tangential approximation by holomorphic functions . Izv. Akad, Nauk Armjan SSR Ser. Mat. , 3 : 273 – 286 .
   Google Scholar
• Bagemihl , F. and Seidel , W. 1955 . A problem concerning the cluster sets of analytic functions . Math. Z , 62 : 99 – 110 .
   Google Scholar
• Bagemihl , F. and Seidel , W. 1954 . Some boundary properties of analytic functions . Math. Z. , 61 : 186 – 199 .
   Google Scholar
• Brinn , L.W. 1987 . Analytic functions with prescribed cluster sets . Trans. Amer Math. Soc. , 300 : 681 – 693 .
   Google Scholar
• Gaier , D. 1987 . Lectures on Complex Approximation , Boston : Birkhäuser .
   Google Scholar
• Gauthier , P. 1969 . Tangential approximation by entire functions and functions holomorphic in a disk . Izv. Akad. Nauk Armjan SSR Ser. Mat , 4 : 319 – 326 .
   Google Scholar
• Kierst , S. and Szpilrajn , E. 1933 . Sur certaines singularités des fonctions analytiques uniformes . Fund. Math. , 21 : 276 – 294 .
   Google Scholar
• Kuratowski , K. 1966 . Topology I , New York : Academic Press .
   Google Scholar
• Kuratowski , K. 1968 . Topology II , New York : Academic Press .
   Google Scholar