Uniqueness of meromorphic functions sharing one value.
Meng, Chao (2007)
Applied Mathematics E-Notes [electronic only]
Indrajit Lahiri, Arindam Sarkar (2005)
Annales Polonici Mathematici
We prove a result on the uniqueness of meromorphic functions sharing three values with weights and as a consequence of this result we improve a recent result of W. R. Lü and H. X. Yi.
Lahiri, Indrajit, Sahoo, Pulak (2008)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
Ping, He (2010)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
Pulak Sahoo (2010)
Matematički Vesnik
Indrajit Lahiri (1999)
Annales Polonici Mathematici
We prove a uniqueness theorem for meromorphic functions involving linear differential polynomials generated by them. As consequences of the main result we improve some previous results.
Indrajit Lahiri, Pulak Sahoo (2008)
Archivum Mathematicum
In the paper we deal with the uniqueness of meromorphic functions when two non-linear differential polynomials generated by two meromorphic functions share a small function.
Lahiri, Indrajit, Mandal, Nintu (2005)
International Journal of Mathematics and Mathematical Sciences
Renukadevi S. Dyavanal, Rajalaxmi V. Desai (2020)
Mathematica Bohemica
We investigate the uniqueness of a -shift difference polynomial of meromorphic functions sharing a small function which extend the results of N. V. Thin (2017) to -difference operators.
Xu, Hong-Yan (2007)
International Journal of Mathematics and Mathematical Sciences
Hong-Yan Xu, Ting-Bin Cao (2010)
Annales Polonici Mathematici
We deal with the uniqueness problem for analytic functions sharing four distinct values in an angular domain and obtain some theorems which improve the result given by Cao and Yi [J. Math. Anal. Appl. 358 (2009)].
Soniya Sultana, Pulak Sahoo (2025)
Mathematica Bohemica
We investigate the uniqueness results of meromorphic functions if differential polynomials of the form and share a set counting multiplicities or ignoring multiplicities, where is a polynomial of one variable. We give suitable conditions on the degree of and on the number of zeros and the multiplicities of the zeros of . The results of the paper generalize some results due to T. T. H. An and N. V. Phuong (2017) and that of N. V. Phuong (2021).
Hong-Yan Xu, Ting-Bin Cao, Shan Liu (2012)
Matematički Vesnik
Feng Lü, Junfeng Xu, Hongxun Yi (2009)
Annales Polonici Mathematici
We use the theory of normal families to obtain some uniqueness theorems for entire functions, which improve and generalize the related results of Rubel and Yang, and Li and Yi. Some examples are provided to show the sharpness of our results.
Xiao-Min Li, Wen-Li Li, Hong-Xun Yi, Zhi-Tao Wen (2011)
Annales Polonici Mathematici
We deal with uniqueness of entire functions whose difference polynomials share a nonzero polynomial CM, which corresponds to Theorem 2 of I. Laine and C. C. Yang [Proc. Japan Acad. Ser. A 83 (2007), 148-151] and Theorem 1.2 of K. Liu and L. Z. Yang [Arch. Math. 92 (2009), 270-278]. We also deal with uniqueness of entire functions whose difference polynomials share a meromorphic function of a smaller order, improving Theorem 5 of J. L. Zhang [J. Math. Anal. Appl. 367 (2010), 401-408], where the entire...
H.S. Gopalakrishna, S.S. Bhoosnurmath (1976)
Mathematica Scandinavica
Xiu-Qing Lin, Wei-Chuan Lin (2011)
Annales Polonici Mathematici
This paper is devoted to the study of uniqueness of meromorphic functions sharing only one value or fixed points. We improve some related results due to J. L. Zhang [Comput. Math. Appl. 56 (2008), 3079-3087] and M. L. Fang [Comput. Math. Appl. 44 (2002), 823-831], and we supplement some results given by M. L. Fang and X. H. Hua [J. Nanjing Univ. Math. Biquart. 13 (1996), 44-48] and by C. C. Yang and X. H. Hua [Ann. Acad. Sci. Fenn. Math. 22 (1997), 395-406].
Xu, Hong-Yan, Yhang, Hong-Xia, Yi, Cai-Feng (2008)
Novi Sad Journal of Mathematics
J.L. Frank, J.K. Shaw (1975)
Journal für die reine und angewandte Mathematik
Shinji Yamashita (1990)
Mathematische Zeitschrift