Growth properties of meromorphic solutions of some higher-order linear differential-difference equations

References

[1] B. Belaïdi and R. Bellaama, Meromorphic solutions of higher order non-homogeneous linear difference equations, Bull. Transilv. Univ. Braşov Ser. III 13(62) (2020), no. 2, 433–450. 10.31926/but.mif.2020.13.62.2.6Search in Google Scholar

[2] B. Belaïdi and R. Bellaama, Study of the growth properties of meromorphic solutions of higher-order linear difference equations, Arab. J. Math. (Springer) 10 (2021), no. 2, 311–330. 10.1007/s40065-021-00324-2Search in Google Scholar

[3] B. Belaïdi and Y. Benkarouba, Some properties of meromorphic solutions of higher order linear difference equations, Ser. A Appl. Math. Inform. Mech. 11 (2019), no. 2, 75–95. 10.5937/SPSUNP1902075XSearch in Google Scholar

[4] R. Bellaama and B. Belaïdi, Lower order for meromorphic solutions to linear delay-differential equations, Electron. J. Differential Equations 2021 (2021), Paper No. 92. Search in Google Scholar

[5] T.-B. Cao, J.-F. Xu and Z.-X. Chen, On the meromorphic solutions of linear differential equations on the complex plane, J. Math. Anal. Appl. 364 (2010), no. 1, 130–142. 10.1016/j.jmaa.2009.11.018Search in Google Scholar

[6] Z. Chen, Complex Differences and Difference Equations, Math. Monogr. Ser. 29, Science, Beijing, 2014. 10.1155/2014/124843Search in Google Scholar

[7] Z. Chen and X.-M. Zheng, Growth of meromorphic solutions of general complex linear differential-difference equation, Acta Univ. Apulensis Math. Inform. (2018), no. 56, 1–12. 10.17114/j.aua.2018.56.01Search in Google Scholar

[8] Y.-M. Chiang and S.-J. Feng, On the Nevanlinna characteristic of f ⁢ ( z + η ) and difference equations in the complex plane, Ramanujan J. 16 (2008), no. 1, 105–129. 10.1007/s11139-007-9101-1Search in Google Scholar

[9] A. A. Goldberg and I. V. Ostrovskii, Value Distribution of Meromorphic Functions, Transl. Math. Monogr. 236, American Mathematical Society, Providence, 2008. 10.1090/mmono/236Search in Google Scholar

[10] R. G. Halburd and R. J. Korhonen, Difference analogue of the lemma on the logarithmic derivative with applications to difference equations, J. Math. Anal. Appl. 314 (2006), no. 2, 477–487. 10.1016/j.jmaa.2005.04.010Search in Google Scholar

[11] R. G. Halburd and R. J. Korhonen, Nevanlinna theory for the difference operator, Ann. Acad. Sci. Fenn. Math. 31 (2006), no. 2, 463–478. Search in Google Scholar

[12] W. K. Hayman, Meromorphic Functions, Oxford Math. Monogr., Clarendon, Oxford, 1964. Search in Google Scholar

[13] H. Hu and X.-M. Zheng, Growth of solutions to linear differential equations with entire coefficients, Electron. J. Differential Equations 2012 (2012), Paper No. 226. Search in Google Scholar

[14] L. Kinnunen, Linear differential equations with solutions of finite iterated order, Southeast Asian Bull. Math. 22 (1998), no. 4, 385–405. Search in Google Scholar

[15] I. Laine, Nevanlinna Theory and Complex Differential Equations, De Gruyter Stud. Math. 15, Walter de Gruyter, Berlin, 1993. 10.1515/9783110863147Search in Google Scholar

[16] I. Laine and C.-C. Yang, Clunie theorems for difference and q-difference polynomials, J. Lond. Math. Soc. (2) 76 (2007), no. 3, 556–566. 10.1112/jlms/jdm073Search in Google Scholar

[17] Z. Latreuch and B. Belaïdi, Growth and oscillation of meromorphic solutions of linear difference equations, Mat. Vesnik 66 (2014), no. 2, 213–222. Search in Google Scholar

[18] H. Liu and Z. Mao, On the meromorphic solutions of some linear difference equations, Adv. Difference Equ. 2013 (2013), 1–12. 10.1186/1687-1847-2013-133Search in Google Scholar

[19] K. Liu and C. J. Song, Meromorphic solutions of complex differential-difference equations, Results Math. 72 (2017), no. 4, 1759–1771. 10.1007/s00025-017-0736-ySearch in Google Scholar

[20] L. Luo and X. Zheng, Growth of meromorphic solutions of some kind of complex linear difference equation with entire or meromorphic coefficients, Math. Appl. (Wuhan) 29 (2016), no. 4, 723–730. Search in Google Scholar

[21] A. G. Naftalevič, Meromorphic solutions of a differential-difference equation, Uspehi Mat. Nauk 16 (1961), no. 3 (99), 191–196. Search in Google Scholar

[22] X. Qi and L. Yang, A note on meromorphic solutions of complex differential-difference equations, Bull. Korean Math. Soc. 56 (2019), no. 3, 597–607. Search in Google Scholar

[23] J. Tu and T. Long, Oscillation of complex high order linear differential equations with coefficients of finite iterated order, Electron. J. Qual. Theory Differ. Equ. 2009 (2009), Paper No. 66. 10.14232/ejqtde.2009.1.66Search in Google Scholar

[24] S. Wu and X. Zheng, Growth of meromorphic solutions of complex linear differential-difference equations with coefficients having the same order, J. Math. Res. Appl. 34 (2014), no. 6, 683–695. Search in Google Scholar

[25] C.-C. Yang and H.-X. Yi, Uniqueness Theory of Meromorphic Functions, Math. Appl. 557, Kluwer Academic, Dordrecht, 2003. 10.1007/978-94-017-3626-8Search in Google Scholar

[26] X.-M. Zheng and J. Tu, Growth of meromorphic solutions of linear difference equations, J. Math. Anal. Appl. 384 (2011), no. 2, 349–356. 10.1016/j.jmaa.2011.05.069Search in Google Scholar

[27] Y.-P. Zhou and X.-M. Zheng, Growth of meromorphic solutions to homogeneous and non-homogeneous linear (differential-)difference equations with meromorphic coefficients, Electron. J. Differential Equations 2017 (2017), Paper No. 34. Search in Google Scholar