Meromorphic solutions of some complex difference equations.
On subnormal solutions of periodic differential equations.
On the growth of solutions of some second-order linear differential equations.
On complex oscillation property of solutions for higher-order periodic differential equations.
Subnormal solutions of second-order nonhomogeneous linear differential equations with periodic coefficients.
Fixed points of meromorphic functions and of their differences and shifts
Let f(z) be a finite order transcendental meromorphic function such that λ(1/f(z)) < σ(f(z)), and let c ∈ ℂ∖0 be a constant such that f(z+c) ≢ f(z) + c. We mainly prove that , where τ(g(z)) denotes the exponent of convergence of fixed points of the meromorphic function g(z), and σ(g(z)) denotes the order of growth of g(z).
On meromorphic solutions of the Riccati differential equations
We investigate the growth and Borel exceptional values of meromorphic solutions of the Riccati differential equation w' = a(z) + b(z)w + w², where a(z) and b(z) are meromorphic functions. In particular, we correct a result of E. Hille [Ordinary Differential Equations in the Complex Domain, 1976] and get a precise estimate on the growth order of the transcendental meromorphic solution w(z); and if at least one of a(z) and b(z) is non-constant, then we show that w(z)...
Properties of differences of meromorphic functions
Let be a transcendental meromorphic function. We propose a number of results concerning zeros and fixed points of the difference and the divided difference .
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