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On zeros of differences of meromorphic functions

Yong LiuHongXun Yi — 2011

Annales Polonici Mathematici

Let f be a transcendental meromorphic function and g ( z ) = f ( z + c ) + + f ( z + c k ) - k f ( z ) and g k ( z ) = f ( z + c ) f ( z + c k ) - f k ( z ) . A number of results are obtained concerning the exponents of convergence of the zeros of g(z), g k ( z ) , g(z)/f(z), and g k ( z ) / f k ( z ) .

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