Abstract
Let f be a transcendental meromorphic function on ℂ, all but finitely many of whose zeros are multiple, and let R be a rational function, R ≢ 0. Then f′ − R has infinitely many zeros.
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Research supported by the German-Israeli Foundation for Scientific Research and Development, G.I.F. Grant No. G-809-234-6/2003, and by NNSF of China, Grant No. 10671067.
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Pang, X., Nevo, S. & Zalcman, L. Derivatives of Meromorphic Functions with Multiple Zeros and Rational Functions. Comput. Methods Funct. Theory 8, 483–491 (2008). https://doi.org/10.1007/BF03321700
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DOI: https://doi.org/10.1007/BF03321700