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Uniqueness theorems for entire functions whose difference polynomials share a meromorphic function of a smaller order

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Li X.-M., Li W.-L., Yi H.-X., Wen Z.-T.

Annales Polonici Mathematici

2011

tom 102

nr 2

111-127

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], where the entire functions are of finite orders.

Ograniczanie wyników

1 Annales Polonici Mathematici

1 Li W.-L.

1 Li X.-M.

1 Wen Z.-T.

1 Yi H.-X.

1 2011

Wyniki wyszukiwania

Uniqueness theorems for entire functions whose difference polynomials share a meromorphic function of a smaller order