Acta mathematica scientia,Series B ›› 2018, Vol. 38 ›› Issue (6): 1678-1688.

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A NOTE ON q-DIFFERENCE OPERATOR AND RELATED LIMIT DIRECTION

Yezhou LI, Ningfang SONG   

  1. School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China
  • Online:2018-12-25 Published:2018-12-28
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (11571049, 11101048)

Abstract: The growth of entire functions under the q-difference operators is studied in this paper, and then some properties of Julia set of entire functions under the higher order q-difference operators are obtained.

Key words: q-difference operator, order, limit direction, Julia set

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