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Value sharing results of a meromorphic function f(z) and f(qz)
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In this paper, we investigate sharing value problems related to a meromorphic function f(z) and f(qz), where q is a non-zero constant. It is shown, for instance, that if f(z) is zero-order and shares two valves CM and one value IM with f(qz), then f(z)=f(qz).
Abstract
In this paper, we investigate sharing value problems related to a meromorphic function f(z) and f(qz), where q is a non-zero constant. It is shown, for instance, that if f(z) is zero-order and shares two valves CM and one value IM with f(qz), then f(z)=f(qz).
참고문헌 (11)
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- G. G. Gundersen, "Meromorphic functions that share four values", Trans. Amer. Math. Soc, 277(2), pp.545~567 (1983)
- W. Hayman, "Meromorphic Functions" (1964), Clarendon Press
- J. Heittokangas, "Value sharing results for shifts of meromorphic functions, and sufficient conditions for periodicity", J. Math. Anal. Appl, 355(1), pp.352~363 (2009)
- I. Laine, "Clunie theorem for difference and q-difference polynomials", J. London. Math. Soc. (2), 76(3), pp.556~566 (2007)
- P. Li, "When an entire function and its linear differential polynomial share two values", Illinois J. Math, 44(2), pp.349~362 (2000)
- R. Nevanlinna, "Le theoreme de Picard-Borel et la theorie des fonctions meromorphes" (1929), Gauthiers-Villars
- C. C. Yang, "Uniqueness Theory of Meromorphic Functions" (2003), Kluwer Aca- demic Publishers
- J. L. Zhang, "On the Nevanlinna characteristic of f(qz) and its appli-cations", J. Math. Anal. Appl, 369(2), pp.537~544 (2010)
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