@article{He2022, 
author = {Zhiying He and Jianbin Xiao and Mingliang Fang},
title = {Unicity of transcendental meromorphic functions concerning differential-difference polynomials},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {5},
pages = {9232-9246},
keywords = {meromorphic functions, small functions, unicity, differences, differential},
url = {https://www.sciopen.com/article/10.3934/math.2022511},
doi = {10.3934/math.2022511},
abstract = {Let    f and    g be two transcendental meromorphic functions of finite order with a Borel exceptional value    ∞, let    α    (  ≢  0  ) be a small function of both    f and    g, let    d  ,  k  ,  n  ,  m and        v    j    (  j  =  1  ,  2  ,  ⋯  ,  d  ) be positive integers, and let        c    j    (  j  =  1  ,  2  ,  ⋯  ,  d  ) be distinct nonzero finite values. If    n  ≥  max  {  2  k  +  m  +  σ  +  5  ,  σ  +  2  d  +  3  }, where    σ  =      v    1    +      v    2    +  ⋯  +      v    d  , and    (      f    n    (  z  )  (      f    m    (  z  )  −  1  )      ∏          j      =      1              d            f                  v        j              (  z  +      c    j    )      )          (      k      )       and    (      g    n    (  z  )  (      g    m    (  z  )  −  1  )      ∏          j      =      1              d            g                  v        j              (  z  +      c    j    )      )          (      k      )       share    α CM then    f  ≡  t  g, where        t    m    =      t          n      +      σ        =  1. This result extends and improves some restlts due to [1,10,14,15,19].}
}