FINITE LOGARITHMIC ORDER MEROMORPHIC SOLUTIONS OF LINEAR DIFFERENCE/DIFFERENTIAL-DIFFERENCE EQUATIONS

Firstly we study the growth of meromorphic solutions of linear difference equation of the form Ak(z)f (z + ck) +... + A1(z)f (z + c1) + A0(z)f(z) = F(z), where Ak(z), ... , A0(z) and F(z) are meromorphic functions of finite logarithmic order, ci (i = 1, ... , k, k is an element of ) are distinct nonzero complex constants. Secondly, we deal with the growth of solutions of differential-difference equation of the form Xn i=0 Xm j=0 Aij(z)f(j)(z + ci) = F(z), where Aij(z) (i = 0,1, ... , n, j = 0,1,. .. , m, n, m is an element of ) and F(z) are meromorphic functions of finite logarithmic order, ci (i = 0, ... , n) are distinct complex constants. We extend some previous results obtained by Zhou and Zheng and Biswas to the logarithmic lower order.