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ON ENTIRE SOLUTIONS OF NONLINEAR DIFFERENCE-DIFFERENTIAL EQUATIONS

ON ENTIRE SOLUTIONS OF NONLINEAR DIFFERENCE-DIFFERENTIAL EQUATIONS

In this paper, we study the non-existence of finite order entire solutions of nonlinear differential-difference of the form <TEX>$$f^n+Q(z,f)=h$$</TEX>, where <TEX>$n{\geq}2$</TEX> is an integer, <TEX>$Q(z,f)$</TEX> is a differential-difference polynomial in <TEX>$f$</TEX> with polynomial coefficients, and <TEX>$h$</TEX> is a meromorphic function of order <TEX>${\leq}1$</TEX>.