Geodesic
Uniqueness of meromorphic functions when two non-linear differential polynomials share a small function
Archivum mathematicum, Tome 44 (2008) no. 3, pp. 201-210
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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.
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.
Classification : 30D35
Keywords: non-linear differential polynomial; small function; uniqueness 
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Lahiri, Indrajit; Sahoo, Pulak. Uniqueness of meromorphic functions when two non-linear differential polynomials share a small function. Archivum mathematicum, Tome 44 (2008) no. 3, pp. 201-210. http://geodesic.mathdoc.fr/item/ARM_2008_44_3_a3/

[1] Banerjee, A.: Meromorphic functions sharing one value. Internat. J. Math. Math. Sci. 22 (2005), 3587–3598. | DOI | MR | Zbl

[2] Banerjee, A.: On uniqueness for non-linear differential polynomials sharing the same $1$-point. Ann. Polon. Math. 89 (3) (2006), 259–272. | DOI | MR

[3] Fang, C. Y., Fang, M. L.: Uniqueness of meromorphic functions and differential polynomials. Comput. Math. Appl. 44 (2002), 607–617. | DOI | MR | Zbl

[4] Fang, M. L., Hong, W.: A unicity theorem for entire functions concerning differential polynomials. Indian J. Pure Appl. Math. 32 (2001), 1343–1348. | MR | Zbl

[5] Hayman, W. K.: Meromorphic Functions. The Clarendon Press, Oxford, 1964. | MR | Zbl

[6] Lahiri, I.: Uniqueness of meromorphic functions when two linear differential polynomials share the same $1$-points. Ann. Polon. Math. 71 (1999), 113–128. | MR | Zbl

[7] Lahiri, I.: Weighted sharing and uniqueness of meromorphic functions. Nagoya Math. J. 161 (2001), 193–206. | MR | Zbl

[8] Lahiri, I.: Weighted value sharing and uniqueness of meromorphic functions. Complex Variables Theory Appl. 46 (2001), 241–253. | DOI | MR | Zbl

[9] Lahiri, I.: Linear differential polynomials sharing the same $1$-points with weight two. Ann. Polon. Math. 79 (2002), 157–170. | DOI | MR | Zbl

[10] Lahiri, I., Sarkar, A.: Non-linear differential polynomials sharing $1$-points with weight two. Chinese J. Contemp. Math. 25 (2004), 325–334. | MR

[11] Lin, W. C., Yi, H. X.: Uniqueness theorems for meromorphic functions. Indian J. Pure Appl. Math. 35 (2004), 121–132. | MR | Zbl

[12] Mohonko, A. Z.: On the Nevanlinna characteristics of some meromorphic functions, The Theory of Functions, Functional Analysis and Their Applications. Izd. Kharkovsk. Univ. 14 (1971), 83–87. | MR

[13] Yang, C. C.: On deficiencies of differential polynomials II. Math. Z. 125 (1972), 107–112. | MR | Zbl

[14] Yi, H. X.: Uniqueness of meromorphic functions and a question of C. C. Yang. Complex Variables Theory Appl. 14 (1990), 169–176. | DOI | MR | Zbl

[15] Yi, H. X.: Meromorphic functions that share one or two values. Complex Variables Theory Appl. 28 (1995), 1–11. | DOI | MR | Zbl