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

Xiao-Min Li, et al. "Uniqueness theorems for entire functions whose difference polynomials share a meromorphic function of a smaller order." Annales Polonici Mathematici 102.2 (2011): 111-127. <http://eudml.org/doc/280927>.

@article{Xiao2011,
abstract = {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.},
author = {Xiao-Min Li, Wen-Li Li, Hong-Xun Yi, Zhi-Tao Wen},
journal = {Annales Polonici Mathematici},
keywords = {entire function; order of growth; shared value; difference polynomial; uniqueness},
language = {eng},
number = {2},
pages = {111-127},
title = {Uniqueness theorems for entire functions whose difference polynomials share a meromorphic function of a smaller order},
url = {http://eudml.org/doc/280927},
volume = {102},
year = {2011},
}

TY - JOUR
AU - Xiao-Min Li
AU - Wen-Li Li
AU - Hong-Xun Yi
AU - Zhi-Tao Wen
TI - Uniqueness theorems for entire functions whose difference polynomials share a meromorphic function of a smaller order
JO - Annales Polonici Mathematici
PY - 2011
VL - 102
IS - 2
SP - 111
EP - 127
AB - 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.
LA - eng
KW - entire function; order of growth; shared value; difference polynomial; uniqueness
UR - http://eudml.org/doc/280927
ER -