Abstract
Let f be a transcendental meromorphic function and g(z) = f(z + c 1) + f(z + c 2) − 2f(z) and g 2(z) = f(z + c 1) · f(z + c 2) − f 2(z). The exponents of convergence of zeros of differences g(z), g 2(z), g(z)/f(z), and g 2(z)/f 2(z) are estimated accurately.
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This work was supported by National Natural Science Foundation of China (Grant No. 10871076) and Brain Pool Program of Korean Federation of Science and Technology Societies (Grant No. 072-1-3-0164)
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Chen, Z., Shon, K.H. Estimates for the zeros of differences of meromorphic functions. Sci. China Ser. A-Math. 52, 2447–2458 (2009). https://doi.org/10.1007/s11425-009-0159-7
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DOI: https://doi.org/10.1007/s11425-009-0159-7