Unique range sets and uniqueness polynomials in positive characteristic

Ta Thi Hoai An; Julie Tzu-Yueh Wang; Pit-Mann Wong

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Displaying similar documents to “Unique range sets and uniqueness polynomials in positive characteristic”

Unique range sets in positive characteristic

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Erratum to "Unique range sets in positive characteristic" (Acta Arith. 103 (2002), 169-189)

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We deal with uniqueness of entire functions whose difference polynomials share a nonzero polynomial CM, which corresponds to Theorem 2 of I. Laine and C. C. Yang [Proc. Japan Acad. Ser. A 83 (2007), 148-151] and Theorem 1.2 of K. Liu and L. Z. Yang [Arch. Math. 92 (2009), 270-278]. We also deal with uniqueness of entire functions whose difference polynomials share a meromorphic function of a smaller order, improving Theorem 5 of J. L. Zhang [J. Math. Anal. Appl. 367 (2010), 401-408],...

Uniqueness of entire functions and their derivatives

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We study the uniqueness of entire functions which share a value or a function with their first and second derivatives.

Entire functions that share a function with their first and second derivatives

Feng Lü, Junfeng Xu (2012)

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Applying the normal family theory and the theory of complex differential equations, we obtain a uniqueness theorem for entire functions that share a function with their first and second derivative, which generalizes several related results of G. Jank, E. Mues & L. Volkmann (1986), C. M. Chang & M. L. Fang (2002) and I. Lahiri & G. K. Ghosh (2009).

The Ritt order of the derivative of an entire function

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Entire functions that share values or small functions with their derivatives

Sheng Li, Zongsheng Gao, Jilong Zhang (2012)

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We investigate the uniqueness of entire functions sharing values or small functions with their derivatives. One of our results gives a necessary condition on the Nevanlinna deficiency of the entire function f sharing one nonzero finite value CM with its derivative f'. Some applications of this result are provided. Finally, we prove some further results on small function sharing.

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