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On the value distribution of a certain type of differential polynomials

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Abstract

Some quantitative estimations on the value distribution of the functionafg n(n≥2) are obtained, whereg is a linear differential polynomial inf anda is a small function off.

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References

  1. Bergweiler W, Eremenko A (1995) On the singularities of the inverse of meromorphic function of finite order. Rev Mat Iberoamericana11: 355–373

    Google Scholar 

  2. Chen HH, Fang ML (1995) On the value distribution off n f′. Chinese Science Bulletin, Ser A25: 121–127

    Google Scholar 

  3. Chuang CT, Hua XH (1991) On a conjecture of Hayman. Acta Math Sinica, New Series7: 119–126

    Google Scholar 

  4. Clunie J (1962) On integral and meromorphic functions. J London Math Soc37: 17–27

    Google Scholar 

  5. Doeringer W (1982) Exceptional values of differential polynomials. Pacific J Math98: 55–62

    Google Scholar 

  6. Hayman WK (1967) Research Problems in Function Theory. London: Univ Press

    Google Scholar 

  7. Hayman WK (1959) Picard values of meromorphic functions and their derivatives. Ann of Math70: 9–42

    Google Scholar 

  8. Hayman WK (1975) Meromorphic Functions. Oxford: Univ Press

    Google Scholar 

  9. Hayman WK, Miles J (1989) On the growth of a meromorphic function and its derivatives. Complex Variables12: 245–260

    Google Scholar 

  10. Hennekemper W (1981) Über die Wertverteilung von (f k+1)(k). Math Z177: 375–380

    Google Scholar 

  11. Mues E (1979) Über ein Problem von Hayman. Math Z164: 239–259

    Google Scholar 

  12. Song GD, Zhang ZF (1997) On the value distribution of meromorphic functions. Preprint

  13. Steinmetz N (1981) Über die Nullstellen von Differential Polynomen. Math Z176: 255–264

    Google Scholar 

  14. Tse CK, Yang CC (1994) On the value distribution off l(f (k))n. Kodai Math J17: 163–169

    Google Scholar 

  15. Yang CC, Yi HX (1980) Some quantitative estimations of zeros of differential polynomials. Science in China, Ser. A,23: 8–20 (in Chinese)

    Google Scholar 

  16. Yang CC, Yi HX (1994) On the unicity theorem of meromorphic functions with deficient values, Acta Math Sinica37: 62–72

    Google Scholar 

  17. Yang CC, Yang L, Wang YF (1994) On the zeros off(f (k))n−1. Kexue Tongbao24: 2215–2218

    Google Scholar 

  18. Yang L (1993) Value Distribution Theory. Berlin: Springer

    Google Scholar 

  19. Zhang QD (1994) On the value distribution of ϕ(z)f(z)f′(z) Acta Math Sinica37: 91–98

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, The University of Science and Technology of China, Hefei Anhui, P.R. China

    Ping Li

  2. Department of Mathematics, Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong

    Chung-Chau Yang

Authors
  1. Ping Li
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  2. Chung-Chau Yang
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The research was partially supported by a U.G.C grant of Hong Kong

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Li, P., Yang, CC. On the value distribution of a certain type of differential polynomials. Monatshefte für Mathematik 125, 15–24 (1998). https://doi.org/10.1007/BF01489455

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  • DOI: https://doi.org/10.1007/BF01489455

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