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Real meromorphic functions and linear differential polynomials

Real meromorphic functions and linear differential polynomials
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摘要 We determine all real meromorphic functions f in the plane such that f has finitely many zeros, the poles of f have bounded multiplicities, and f and F have finitely many non-real zeros, where F is a linear differential polynomial given by F = f (k) +Σk-1j=0ajf(j) , in which k≥2 and the coefficients aj are real numbers with a0≠0. We determine all real meromorphic functions f in the plane such that f has finitely many zeros, the poles of f have bounded multiplicities, and f and F have finitely many non-real zeros, where F is a linear differential polynomial given by F = f (k) +Σk-1j=0ajf(j) , in which k≥2 and the coefficients aj are real numbers with a0≠0.
作者 LANGLEY J. K.
出处 《Science China Mathematics》 SCIE 2010年第3期739-748,共10页 中国科学:数学(英文版)
关键词 non-real ZEROS MEROMORPHIC function LINEAR differential POLYNOMIAL non-real zeros meromorphic function linear differential polynomial
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参考文献42

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