Generalization of uniqueness and value sharing of meromorphic functions concerning differential polynomials

Harina P. Waghamore; Ramya Maligi

Communications in Mathematics (2020)

  • Volume: 28, Issue: 3, page 289-299
  • ISSN: 1804-1388

Abstract

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The motivation of this paper is to study the uniqueness problems of meromorphic functions concerning differential polynomials that share a small function. The results of the paper improve and generalize the recent results due to Fengrong Zhang and Linlin Wu [13]. We also solve an open problem as posed in the last section of [13].

How to cite

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Waghamore, Harina P., and Maligi, Ramya. "Generalization of uniqueness and value sharing of meromorphic functions concerning differential polynomials." Communications in Mathematics 28.3 (2020): 289-299. <http://eudml.org/doc/297058>.

@article{Waghamore2020,
abstract = {The motivation of this paper is to study the uniqueness problems of meromorphic functions concerning differential polynomials that share a small function. The results of the paper improve and generalize the recent results due to Fengrong Zhang and Linlin Wu [13]. We also solve an open problem as posed in the last section of [13].},
author = {Waghamore, Harina P., Maligi, Ramya},
journal = {Communications in Mathematics},
keywords = {Uniqueness; Meromorphic functions; Sharing value; Differential polynomials},
language = {eng},
number = {3},
pages = {289-299},
publisher = {University of Ostrava},
title = {Generalization of uniqueness and value sharing of meromorphic functions concerning differential polynomials},
url = {http://eudml.org/doc/297058},
volume = {28},
year = {2020},
}

TY - JOUR
AU - Waghamore, Harina P.
AU - Maligi, Ramya
TI - Generalization of uniqueness and value sharing of meromorphic functions concerning differential polynomials
JO - Communications in Mathematics
PY - 2020
PB - University of Ostrava
VL - 28
IS - 3
SP - 289
EP - 299
AB - The motivation of this paper is to study the uniqueness problems of meromorphic functions concerning differential polynomials that share a small function. The results of the paper improve and generalize the recent results due to Fengrong Zhang and Linlin Wu [13]. We also solve an open problem as posed in the last section of [13].
LA - eng
KW - Uniqueness; Meromorphic functions; Sharing value; Differential polynomials
UR - http://eudml.org/doc/297058
ER -

References

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  1. Banerjee, A., 10.1155/IJMMS.2005.3587, Int. J. Math. Math. Sci., 22, 2005, 3587-3598, (2005) Zbl1093.30024MR2205158DOI10.1155/IJMMS.2005.3587
  2. Banerjee, A., 10.4064/ap89-3-3, Ann. Polon. Math., 89, 3, 2006, 259-272, (2006) Zbl1104.30018MR2262553DOI10.4064/ap89-3-3
  3. Dyavanal, R.S., Uniqueness and value-sharing of differential polynomials of meromorphic functions, J. Math. Anal. Appl., 374, 1, 2011, 335-345, corrected republication of MR2672524. (2011) MR2726211
  4. Fang, C.Y., Fang, M.L., Uniqueness of meromorphic functions and differential polynomials, Comput. Math. Appl., 44, 5--6, 2002, 607-617, (2002) Zbl1035.30018MR1925805
  5. Fang, M.L., Hong, W., A unicity theorem for entire functions concerning differential polynomials, Indian J. Pure Appl. Math., 32, 9, 2001, 1343-1348, (2001) Zbl1005.30023MR1875450
  6. Hayman, W.K., Meromorphic functions, 1964, Oxford Mathematical Monographs Clarendon Press, (1964) Zbl0115.06203MR0164038
  7. Lahiri, I., 10.4064/ap-71-2-113-128, Ann. Polon. Math., 71, 2, 1999, 113-128, (1999) Zbl0938.30022MR1703886DOI10.4064/ap-71-2-113-128
  8. Lahiri, I., 10.4064/ap79-2-6, Ann. Polon. Math., 79, 2, 2002, 157-170, (2002) MR1957890DOI10.4064/ap79-2-6
  9. Lahiri, I., Sahoo, P., Uniqueness of meromorphic functions when two non-linear differential polynomials share a small function, Arch. Math., 44, 3, 2008, 201-210, (2008) MR2462975
  10. Lin, W.Ch., Yi, H.X., Uniqueness theorems for meromorphic function, Indian J. Pure Appl. Math., 35, 2, 2004, 121-132, (2004) Zbl1056.30031MR2040726
  11. Yang, Ch.Ch., Hua, X., Uniqueness and value-sharing of meromorphic functions, Ann. Acad. Sci. Fenn. Math., 22, 2, 1997, 395-406, (1997) Zbl0890.30019MR1469799
  12. Yi, H.X., 10.1080/17476939508814833, Complex Variables Theory Appl., 28, 1, 1995, 1-11, (1995) Zbl0841.30027MR1700258DOI10.1080/17476939508814833
  13. Zhang, F., Wu, L., Notes on the uniqueness of meromorphic functions concerning differential polynomials, J. Inequal. Appl, 2019, 2019, 1-14, (2019) MR3923700
  14. Zhang, Q., Meromorphic function that shares one small function with its derivative, JIPAM. J. Inequal. Pure Appl. Math., 6, 4, 2005, 13 pp, (2005) Zbl1097.30033MR2178297

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