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ANALYTIC FUNCTIONS SHARING THREE VALUES DM IN ONE ANGULAR DOMAIN

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초록

We investigate the uniqueness of transcendental analytic functions that share three values DM in one angular domain instead of the whole complex plane.

Abstract

We investigate the uniqueness of transcendental analytic functions that share three values DM in one angular domain instead of the whole complex plane.

참고문헌 (10)

  1. A. A. Goldberg, "The Distribution of Values of Meromophic Functions" (1970), Izdat. Nauk.
  2. W. K. Hayman, "Meromorphic Functions" (1964), Oxford Mathematical Monographs Clarendon Press
  3. E. Mues, "Bemerkungen zum vier-Punkte-Satz, Complex methods on partial differential equations", Mathematics Research, 53, pp.109~117 (1989), Akademie-Verlag
  4. R. Nevanlinna, "Le th´eor`eme de Picard-Borel et la th´eorie des fonctions m´eromorphes, Paris", ~ (1929)
  5. S. J. Wu, "On the location of zeros of solutions of f′′ + A(z)f = 0 where A(z) is entire", MATHEMATICA SCANDINAVICA, 74(2), pp.293~312 (1994)
  6. L. Yang, "Angular distribution of values of ff′", Science in China Series A, 37(3), pp.284~294 (1994)
  7. H. X. Yi, "Uniqueness Theory of Meromorphic Functions" (2003), Kluwer Academic Publishers Group
  8. J. H. Zheng, "On uniqueness of meromorphic functions with shared values in some angular domains", Canadian Mathematical Bulletin, 47(1), pp.152~160 (2004)
  9. J. H. Zheng, "On uniqueness of meromorphic functions with shared values in one angular domain", Complex Variables and Elliptic Equations, 48, pp.777~785 (2003)
  10. J. H. Zheng, "On transcendental meromorphic functions with radially distributed values", Science in China Series A, (3), pp.401~416 (2004)

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