17
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Remarks on the value distribution of quasimeromorphic mappingsFootnote

&
Pages 231-242 | Received 19 Jul 1991, Published online: 29 May 2007

References

  • Barsegian , G. A. 1983 . A unified approach to the main results on deficient values, Borel directions and cercles de remplissage . Soviet Math. Dokl , 28 : 1 – 4 .
  • Bojarski , B. and Iwaniec , T. 1983 . Analytical foundations of the theory of quasiconformal mappings in . Ann. Acad. Sci. Fenn. Ser. A I Math , 8 : 257 – 324 .
  • Clunie , J. and Hayman , W. K. 1966 . The spherical derivative of integral and meromorphic functions . Comment. Math. Helv , 40 : 117 – 148 .
  • Gauld , D. B. and Martin , G. J. “ Essential singularities of quasimeromorphic mappings ” . preprint
  • Gauthier , P. 1969 . Cercles de remplissage and asymptotic behavior . Canad. J. Math , 21 : 447 – 455 .
  • Granlund , S. , Lindqvist , P. and Martio , O. 1982 . F-harmonic measure in space . Ann. Acad. Sci. Fenn. Ser. A I Math , 7 : 233 – 247 .
  • Granlund , S. , Lindqvist , P. and Martio , O. 1985 . Phragmén-Lindelöf's and Lindelöf's theorems . Ark. Mat , 23 : 103 – 128 .
  • Heinonen , J. and Rossi , J. 1990 . Lindelöf's theorem for normal quasimeromorphic mappings . Mich. Math. J , 37 : 219 – 226 .
  • Järvi , P. 1990 . On the behavior of quasiregular mappings in the neighborhood of an isolated singularity . Ann. Acad. Sci. Fenn. Ser. A I Math , 15 : 341 – 353 .
  • Lento , O. and Virtanen , K. I. 1957 . Boundary behaviour and normal meromorphic functions . Acta Math , 97 : 47 – 65 .
  • Lehto , O. and Virtanen , K. I. 1957 . On the behaviour of meromorphic functions in the neighbourhood of an isolated singularity . Ann. Acad. Sci. Fenn. Ser. A I , 240 : 3 – 9 .
  • Lehto , O. 1959 . The spherical derivative of meromorphic functions in the neighbourhood of an isolated singularity . Comment. Math. Helv , 33 : 196 – 205 .
  • Milloux , H. 1935 . Sur le théorème de Picard . Bull. Soc. Math. France , 53 : 181 – 207 .
  • Minda , D. and Miniowitz , R. 1982 . Normal families of quasimeromorphic mappings . Proc. Amer. Math. Soc , 84 : 35 – 43 .
  • Miniowitz , R. 1982 . Normal families of quasimeromorpluc mappings . Proc. Amer Math. Soc. , 84 : 35 – 43 .
  • Ostrowski , A. 1925 . Über Folgen analytischer Funktionen und einige Verschärfungen des Picardschen Satzes, . Math. Z , 24 : 215 – 258 .
  • Reshetnyak , Yu. G. 1989 . Space mappings with bounded distortion . Transl. of Math. Monographs, Amer. Math. Soc , 73
  • Rickman , S. 1988 . “ Quasiregular mappings ” . Springer . to appear
  • Rickman , S. 1984 . Quasiregular mappings and metrics on the n-sphere with punctures . Comment. Math. Helv , 59 : 136 – 148 .
  • Vuorinen , M. 1988 . “ Conformal geometry and quasiregular mappings ” . In Lecture Notes in Math , Vol. 1319 , Springer .
  • Vuorinen , M. 1989 . On Picard's theorem for entire quasiregular mappings . Proc. Amer. Math. Soc , 107 : 383 – 394 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.