Skip to main content Accesibility Help


  • KAI LIU (a1) and PEIYONG YU (a2)

We give some sufficient conditions for the periodicity of entire functions based on a conjecture of C. C. Yang, using the concepts of value sharing, unique polynomial of entire functions and Picard exceptional value.

Corresponding author
Hide All

This work was partially supported by the NSFC (No. 11661052), the NSF of Jiangxi (No. 20161BAB211005) and the outstanding youth scientist foundation plan of Jiangxi (No. 20171BCB23003).

Hide All
[1] Baker, I. N., ‘On some results of A. Rényi and C. Rényi concerning periodic entire functions’, Acta Sci. Math. (Szeged) 27 (1966), 197200.
[2] Halburd, R. G., Korhonen, R. J. and Tohge, K., ‘Holomorphic curves with shift-invariant hyperplane preimages’, Trans. Amer. Math. Soc. 366 (2014), 42674298.
[3] Hayman, W. K., Meromorphic Functions (Clarendon Press, Oxford, 1964).
[4] Heittokangas, J., Korhonen, R., Laine, I., Rieppo, J. and Zhang, J. L., ‘Value sharing results for shifts of meromorphic functions, and sufficient conditions for periodicity’, J. Math. Anal. Appl. 355 (2009), 352363.
[5] Laine, I., Nevanlinna Theory and Complex Differential Equations (Walter de Gruyter, Berlin–New York, 1993).
[6] Li, P. and Yang, C. C., ‘Meromorphic solutions of functional equations with nonconstant coefficients’, Proc. Japan Acad. Ser. A 82(2) (2006), 183186.
[7] Li, S. and Gao, Z. S., ‘A note on the Brück conjecture’, Arch. Math. 95 (2010), 257268.
[8] Wang, Q. and Hu, P. C., ‘On zeros and periodicity of entire functions’, Acta Math. Sci. 38(2) (2018), 209214.
[9] Yang, C. C., ‘A generalization of a theorem of P. Montel on entire functions’, Proc. Amer. Math. Soc. 26 (1970), 332334.
[10] Yang, C. C., ‘On periodicity of entire functions’, Proc. Amer. Math. Soc. 43 (1974), 353356.
[11] Yang, C. C. and Hua, X. H., ‘Unique polynomials of entire and meromorphic functions’, Mat. Fiz. Anal. Geom. 4 (1997), 391398.
[12] Yang, C. C. and Yi, H. X., Uniqueness Theory of Meromorphic Functions (Kluwer, Dordrecht, 2003).
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Bulletin of the Australian Mathematical Society
  • ISSN: 0004-9727
  • EISSN: 1755-1633
  • URL: /core/journals/bulletin-of-the-australian-mathematical-society
Please enter your name
Please enter a valid email address
Who would you like to send this to? *


MSC classification


Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed