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ON CHARACTERISTIC FUNCTION AND PROXIMATE DEFICIENCIES OF HOMOGENEOUS DIFFERENTIAL POLYNOMIALS

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In this paper relations between [수식] and T(r, P) have been obtained ,where p(r) is a proximate order relative to T(r, f) and P is a homogeneous dif- ferential polynomial respectively. Also results pertaining to Nevanlinna exceptional values have been established, and bounds for [수식] in terms of Nevanlinna de- fects have been given, where [수식] For instance it has been shown that if [수식] then, [수식]

Abstract

In this paper relations between [수식] and T(r, P) have been obtained ,where p(r) is a proximate order relative to T(r, f) and P is a homogeneous dif- ferential polynomial respectively. Also results pertaining to Nevanlinna exceptional values have been established, and bounds for [수식] in terms of Nevanlinna de- fects have been given, where [수식] For instance it has been shown that if [수식] then, [수식]

참고문헌 (11)

  1. Singh S.K, "Characteristic function of a meromorphic function and its deriv- ative", Annales Polonici Mathematici XXVIII, ~ (1973)
  2. Shah S.M, "Exceptional values of entire and meromorphic functions", Duke Math.J., 19, pp.585~593 (1952)
  3. Bhoosnurmath S.S, "Exceptional values of certain homogeneous di®erential polynomials", The Journal of Analysis, 5, pp.97~108 (1997)
  4. Shah S.M, "Borel's theorem on a-points and exceptional values of entire and meromorphic functions", Math.Z., 59, pp.88~93 (1953)
  5. Eridei , A, "The de¯ciencies of meromorphic functions of order less than one", Duke Maths.J., 27, pp.233~250 (1960)
  6. Eridei , A, "De¯cient values and asymptotic values of meromorphic func- tions", Comment Maths.Helv., 33, pp.285~295 (1959)
  7. Nevanlinna R, "Le Th¶eor¶eme de Picard-Borel et la th¶eorie des fonctions meromorphes", Paris Borel, ~ (1929)
  8. Hayman W.K, "Meromorphic function" (1964), Oxford University Press
  9. Shah S.M, "Meromorphic functions of ¯nite order", Proc.Amer. Math.Soc., 10, pp.810~821 (1959)
  10. Singh S.K, "Exceptional values of meromorphic functions", Math.Ann., 1971, pp.121~142
  11. Shah S.M, "A note on meromorphic functions", Math. Student, 12, pp.67~70 (1944)

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