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Tytuł artykułu

Growth and oscillation of some polynomials generated by solutions of complex differential equations

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, we continue the study of some properties on the growth and oscillation of solutions of linear differential equations with entire coefficients of the type [formula] and [formula].
Rocznik
Strony
85--98
Opis fizyczny
Bibliogr. 18 poz.
Twórcy
autor
  • University of Mostaganem (UMAB) Department of Mathematics Laboratory of Pure and Applied Mathematics B. P. 227 Mostaganem, Algeria
autor
  • University of Mostaganem (UMAB) Department of Mathematics Laboratory of Pure and Applied Mathematics B. P. 227 Mostaganem, Algeria
Bibliografia
  • [1] S. Bank, I. Laine, On the oscillation theory of f" +A(z)f = 0 where A is entire, Trans. Amer. Math. Soc. 273 (1982) 1, 351-363.
  • [2] S. Bank, I. Laine, On the zeros of meromorphic solutions and second-order linear dif­ferential equations, Comment. Math. Helv. 58 (1983) 4, 656-677.
  • [3] S. Bank, J.K. Langley, Oscillation theory for higher order linear differential equations with entire coefficients, Complex Variables 16 (1991) 2-3, 163-175.
  • [4] B. Belai'di, Growth and oscillation theory of solutions of some linear differential equa­tions, Mat. Vesnik 60 (2008) 4, 233-246.
  • [5] T.B. Cao, J.F. Xu, Z.X. Chen, On the meromorphic solutions of linear differential equations on the complex plane, J. Math. Anal. Appl. 364 (2010) 1, 130-142.
  • [6] Z.X. Chen, Zeros of meromorphic solutions of higher order linear differential equations, Analysis 14 (1994) 4, 425-438.
  • [7] Z.X. Chen, The fixed points and hyper-order of solutions of second order complex dif­ferential equations, Acta Math. Sci. Ser. A Chin. Ed. 20 (2000) 3, 425-432 [in Chinese].
  • [8] Z.X. Chen, S.A. Gao, The complex oscillation theory of certain nonhomogeneous linear-differential equations with transcendental entire coefficients, J. Math. Anal. Appl. 179 (1993) 2, 403-416.
  • [9] Z.X. Chen, C.C. Yang, Some further results on the zeros and growths of entire solutions of second order linear differential equations, Kodai Math. J. 22 (1999) 2, 273-285.
  • [10] Z.X. Chen, C.C. Yang, Quantitative estimations on the zeros and growths of entire solutions of linear differential equations, Complex Variables Theory Appl. 42 (2000) 2, 119-133.
  • [11] W.K. Hayman, Meromorphic Functions, Clarendon Press, Oxford, 1964.
  • [12] J. Heittokangas, R. Korhonen, J. Rattya, Growth estimates for solutions of linear com­plex differential equations, Ann. Acad. Sci. Fenn. Math. 29 (2004) 1, 233-246.
  • [13] I. Laine, Nevanlinna theory and complex differential equations, de Gruyter Studies in Mathematics, Vol. 15, Walter de Gruyter & Co., Berlin-New York, 1993.
  • [14] Z. Latreuch, B. Belaidi, New estimations about the order of growth and the type of meromorphic functions in the complex plane, An. Univ. Oradea, Fasc. Mat. 20 (2013) 1, 169-176.
  • [15] Z. Latreuch, B. Belaidi, Some properties of solutions of second order linear differential equations, J. Complex Anal. 2013, Art. ID 253168, 5 pp.
  • [16] B.Ya. Levin, Lectures on entire functions, Translations of Mathematical Monographs, Vol. 150, American Mathematical Society, Providence, RI, 1996. In collaboration with and with a preface by Yu. Lyubarskii, M. Sodin and V. Tkachenko; Translated from the Russian manuscript by Tkachenko.
  • [17] J. Tu, C.F. Yi, On the growth of solutions of a class of higher order linear differential equations with coefficients having the same order, J. Math. Anal. Appl. 340 (2008) 1, 487-497.
  • [18] C.C. Yang, H.X. Yi, Uniqueness theory of meromorphic functions, Mathematics and its Applications, Vol. 557, Kluwer Academic Publishers Group, Dordrecht, 2003.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-a2c58ef8-6b8d-4df5-8dbc-3ebd6cd2fa33
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