Some applications of Nevanlinna theory to entire functions that share a small function with two difference operators

Boudaoud Miloudi

Archivum Mathematicum (2024)

  • Volume: 060, Issue: 3, page 177-188
  • ISSN: 0044-8753

Abstract

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In this work, we are implementing some applications of Nevanlinna theory to entire functions that share a small function with two difference operators and we also generalize one of the results in the paper [3].

How to cite

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Miloudi, Boudaoud. "Some applications of Nevanlinna theory to entire functions that share a small function with two difference operators." Archivum Mathematicum 060.3 (2024): 177-188. <http://eudml.org/doc/299527>.

@article{Miloudi2024,
abstract = {In this work, we are implementing some applications of Nevanlinna theory to entire functions that share a small function with two difference operators and we also generalize one of the results in the paper [3].},
author = {Miloudi, Boudaoud},
journal = {Archivum Mathematicum},
keywords = {uniqueness; entire functions; difference operators},
language = {eng},
number = {3},
pages = {177-188},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Some applications of Nevanlinna theory to entire functions that share a small function with two difference operators},
url = {http://eudml.org/doc/299527},
volume = {060},
year = {2024},
}

TY - JOUR
AU - Miloudi, Boudaoud
TI - Some applications of Nevanlinna theory to entire functions that share a small function with two difference operators
JO - Archivum Mathematicum
PY - 2024
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 060
IS - 3
SP - 177
EP - 188
AB - In this work, we are implementing some applications of Nevanlinna theory to entire functions that share a small function with two difference operators and we also generalize one of the results in the paper [3].
LA - eng
KW - uniqueness; entire functions; difference operators
UR - http://eudml.org/doc/299527
ER -

References

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  1. Chen, B., Chen, Z.X., Li, S., 10.1155/2012/906893, Abstr. Appl. Anal. 2012 (2012), 8 pp., Article ID 906893. (2012) MR2926877DOI10.1155/2012/906893
  2. Chen, B., Li, S., Uniqueness theorems on entire functions that share small functions with their difference operators, Adv. Differential Equations 2014 (311) (2014), 11 pp. (2014) MR3360566
  3. Farissi, A. El, Latreuch, Z., Asiri, A., 10.1007/s11785-015-0514-3, Complex Anal. Oper. Theory 10 (6) (2016), 1317–1327. (2016) MR3532314DOI10.1007/s11785-015-0514-3
  4. Farissi, A. El, Latreuch, Z., Belaïdi, B., Asiri, A., Entire functions that share a small function with their difference operators, Electron. J. Differential Equations 2016 (32) (2016), 13 pp. (2016) MR3466503
  5. Halburd, R.G., Korhonen, R.J., Nevanlinna theory for the difference operator, Ann. Acad. Sci. Fenn. Math. 31 (2006), 463–478. (2006) Zbl1108.30022MR2248826
  6. Heittokangas, J., Korhonen, R., Laine, I., Rieppo, J., 10.1080/17476930903394770, Complex Var. Elliptic Equ. 56 (1–4) (2011), 81–92. (2011) MR2774582DOI10.1080/17476930903394770
  7. Heittokangas, J., Korhonen, R., Laine, I., Rieppo, J., Zhang, J., 10.1016/j.jmaa.2009.01.053, J. Math. Anal. Appl. 355 (2009), 352–363. (2009) MR2514472DOI10.1016/j.jmaa.2009.01.053
  8. Latreuch, Z., Farissi, A. El, Belaïdi, B., Entire functions sharing small functions with their difference operators, Electron. J. Differential Equations 2015 (132) (2015), 10 pp. (2015) MR3358504
  9. Li, S., Gao, Z., 10.1007/s00013-011-0324-4, Arch. Math. (Basel) 97 (5) (2011), 475–483. (2011) MR2860575DOI10.1007/s00013-011-0324-4
  10. Yang, C.C., Yi, H.X., Uniqueness Theory of Meromorphic Functions, Beijing: Science Press, 2006. (2006) 
  11. Zhang, J., Liao, L., 10.1007/s11425-014-4848-5, Sci. China A 57 (10) (2014), 2143–2152. (2014) MR3247539DOI10.1007/s11425-014-4848-5

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