Properties of differences of meromorphic functions
نویسندگان
چکیده
منابع مشابه
Zeros of differences of meromorphic functions
Let f be a function transcendental and meromorphic in the plane, and define g(z) by g(z) = ∆f(z) = f(z+1)− f(z). A number of results are proved concerning the existence of zeros of g(z) or g(z)/f(z), in terms of the growth and the poles of f . The results may be viewed as discrete analogues of existing theorems on the zeros of f ′ and f ′/f . MSC 2000: 30D35.
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 2011
ISSN: 0011-4642,1572-9141
DOI: 10.1007/s10587-011-0008-z