JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2025, Vol. 60 ›› Issue (12): 142-148.doi: 10.6040/j.issn.1671-9352.0.2023.464

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Borel exceptional value of iterated order meromorphic functions with thier derivative and difference operator

LIU Jianming, WANG Qin, XIANG Xuxu, WANG Shiwen   

  1. School of Mathematical Sciences, Guizhou Normal University, Guiyang 550025, Guizhou, China
  • Published:2025-12-10

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Abstract: The Borel exceptional values of meromorphic functions of iterated order combined with their derivatives and n-order shift difference operators are studied by using the theory of Nevanlinna value distribution, and the conditions existenced of Borel exceptional values of meromorphic functions of iterated order combined with their derivatives and n-order shift difference operators are described in this paper.

Key words: meromorphic function, Borel exceptional value, iterated order, difference operator

CLC Number: 

  • O174
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