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On the Growth of Solutions of Some Second Order Linear Differential Equations with Entire Coefficients Cover

On the Growth of Solutions of Some Second Order Linear Differential Equations with Entire Coefficients

Open Access
|Sep 2013

References

  1. [1] B. Belaïdi, Growth and oscillation theory of solutions of some linear differential equations. Mat. Vesnik 60 (2008), no. 4, 233-246.
  2. [2] Z. X. Chen, Zeros of meromorphic solutions of higher order linear differential equations, Analysis 14 (1994), no. 4, 425-438.
  3. [3] Z. X. Chen, The fixed points and hyper-order of solutions of second order complex differential equations (in Chinese), Acta Math. Sci. Ser. A Chin. Ed. 20 (2000), no. 3, 425-432.
  4. [4] Z. X. Chen, The growth of solutions of f" -I- e~z f + Q (z) f = 0 where the order(Q) = 1, Sci. China Ser. A 45 (2002), no. 3, 290-300.
  5. [5] Z. X. Chen and K. H. Shon, On the growth of solutions of a class of higher older differential equations, Acta Math. Sci. Ser. B Engl. Ed. 24 (2004), no. 1. 52-60.
  6. [6] F. Gross, On the distribution of values of meromorphic functions, Trans. Amer. Math. Soc. 131(1968), 199-214.10.1090/S0002-9947-1968-0220938-4
  7. [7] G. G. G undersen, Estimates for the logarithmic derivative of a meromorphic function, plus similar estimates, J. London Math. Soc. (2) 37 (1988), no. 1, 88-104.
  8. [8] W. K. Hayman, Meromorphic functions, Oxford Mathematical Mono- graphs Clarendon Press, Oxford 1964.
  9. [9] K. H. Kwon, Nonexistence of finite order solutions of certain second order linear differential equations, Kodai Math. J. 19 (1996), no. 3, 378-387.
  10. [10] M. S. Liu, X. M. Zhang, Fixed points of meromorphic solutions of higher order Linear differential equations, Ann. Acad. Sci. Fenn. Math. 31 (2006), no. 1. 191-211.
  11. [11] F. Peng and Z. X. Chen, On the growth of solutions of some second-order linear differential equations, J. Inequal. Appl. 2011, Art. ID 635604, 1-9.
  12. [12] J. F. Xu, H. X. Yi, The relation between solutions of higher order differential equations with functions of small growth, Acta Math. Sci., Chinese Scries, 53 (2010), 291-296.
  13. [13] C. C. Yang and H. X. Yi, Uniqueness theory of meromorphic functions, Mathematics and its Applications, 557. Kluwer Academic Pub- lishers Group, Dordrecht, 2003. 10.1007/978-94-017-3626-8_10
DOI: https://doi.org/10.2478/auom-2013-0022 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 35 - 52
Published on: Sep 19, 2013
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2013 Benharrat Belaïdi, Habib Habib, published by Ovidius University of Constanta
This work is licensed under the Creative Commons License.