대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제40권2호
  • /
  • Pages.235-241
  • /
  • 2003
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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ZEROS OF SOLUTIONS OF SECOND ORDER LINEAR DIFFERENTIAL EQUATIONS WITH COEFFICIENTS OF SMALL LOWER GROWTH

  • Wang, Sheng (Department of Mathematical Sciences, Tsinghua University)
  • 발행 : 2003.05.01
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초록

It is proved that the product of any two linearly independent meromorphic solutions of second order linear differential equations with coefficients of small lower growth must have infinite exponent of convergence of its zero-sequences, under some suitable conditions.

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참고문헌

  1. Kodai Math. J. v.9 Three results in the value-distribution theory of solutions of linear differential equations S.Bank https://doi.org/10.2996/kmj/1138037205
  2. Tran. Am. Math. Soc. v.273 On the oscillation theory of f“ + Af = 0 where A is entire S.Bank;I.Laine
  3. Complex oscillation theory of linear differential equations Gao Shian;Chen Zongxuan;Chen Tewei
  4. Meromorphic Functions W.K.Hayman
  5. Nevanlinna theory and complex differential equations I.Laine
  6. Linear differential equations with entire coefficients of small growth J.K.Langley
  7. Math. preprint series On multiphle points of meromorphic functions J.K.Langley;D.Shea
  8. A treatise on the theory of determinants T.Muir
  9. Proc. Amer. Math. v.97 no.1 Second order differential equations with transcendental coefficients J.Rossi https://doi.org/10.1090/S0002-9939-1986-0831388-8
  10. Proc. Amer. Math. Soc. v.100 Proof of a conjecture of Bank and Laine regarding the product of two linearly independent solutions of y〃 + Ay = 0 L.C.Shen