On the growth of solutions of second order complex differential equation with meromorphic coefficients

نویسندگان

  • Pengcheng Wu
  • Shengjian Wu
  • Jun Zhu
چکیده

* Correspondence: [email protected] LMAM and School of Mathematical Sciences, Peking University, Beijing 100871, P. R. China Full list of author information is available at the end of the article Abstract We consider the differential equation f’’ + Af’ + Bf = 0 where A(z) and B(z) ≢ 0 are mero-morphic functions. Assume that A(z) belongs to the Edrei-Fuchs class and B(z) has a deficient value ∞, if f ≢ 0 is a meromorphic solution of the equation, then f must have infinite order. Mathematical Subject Classification 2000: 34M10; 30D35.

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تاریخ انتشار 2012