On the growth of solutions of second order complex differential equation with meromorphic
Pengcheng Wu, Shengjian Wu, Jun Zhu
Abstract
Pengcheng Wu, Shengjian Wu, Jun Zhu
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 ∞ ,i ff ≢ 0 is a meromorphic solution of the equation, then f must have infinite order. Mathematical Subject Classification 2000: 34M10; 30D35.
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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 ∞ ,i ff ≢ 0 is a meromorphic solution of the equation, then f must have infinite order. Mathematical Subject Classification 2000: 34M10; 30D35.
Key concepts: Meromorphic function, Mathematics, Differential equation, Order (exchange), Class (philosophy), Pure mathematics, Algebraic differential equation, Mathematical analysis