Growth of meromorphic solutions of finite logarithmic order of linear difference equations
2015
scientific article
english
- linear difference equations
- meromorphic function
- logarithmic order
- logarithmic type
EN In this paper, we deal with the growth and the oscillation of solutions of the linear difference equation an (z) f (z + n) + an–1 (z) f (z + n – 1) + ··· + a1 (z) f (z + 1) + a0 (z) f (z) = 0, where an(z), ···, a0(z) are meromorphic functions of finite logarithmic order such that an(z)a0(z) ≢ 0.
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