Journal of Inequalities and Applications (Apr 2019)
Growth of meromorphic solutions of linear difference equations without dominating coefficients
Abstract
Abstract This paper is devoted to studying the growth of meromorphic solutions of difference equation Pn(z)f(z+n)+Pn−1f(z+n−1)+⋯+P1(z)f(z+1)+P0(z)f(z)=0, $$ P_{n}{(z)}f(z+n)+P_{n-1}f(z+n-1)+\cdots +P_{1}{(z)}f(z+1)+P_{0}{(z)}f(z)=0, $$ where the coefficients Pj $P_{j}$ ( j=0,…,n $j=0,\ldots ,n$) are meromorphic functions. With some additional conditions on coefficients, we obtain precise estimates of the growth of meromorphic solutions of such an equation.
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