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Abstrakty
We employ the notion of weighted sharing of sets to deal with the well known question of Gross and obtain a unique-ness result on meromorphic functions sharing two sets which will improve an earlier result of Lahiri [15] and a recent one of Banerjee [2].
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
17--30
Opis fizyczny
Bibliogr. 27 poz.
Twórcy
autor
- Department of Mathematics University of Kalyani West Bengal 741235, India, abanerjee_kal@yahoo.co.in
autor
- Department of Mathematics Katwa College Burdwan, 713150, India, sujoy.katwa@gmail.com
autor
- AJ 89, Sector-2, Salt Lake City P.O. Sech Bhavan, Kolkata-91 West Bengal, India, snl.banerjee@gmail.com
Bibliografia
- [1] Banerjee A., Uniqueness of meromorphic functions that share two sets, Southeast Asian Bull. Math., 31(2007), 7-17.
- [2] Banerjee A., A uniqueness result on meromorphic functions sharing two sets, J. Adv. Math. Stud., 4(1)(2011), 1-10.
- [3] Banerjee A., On uniqueness of meromorphic functions that share two sets, Georgian Math. J., 15(1) 2008, 21-38.
- [4] Banerjee A., Mukherjee S., Uniqueness of meromorphic functions sharing two or three sets, Hokkaido Math. J., 37(3)(2008), 507-530.
- [5] Fang M., Guo H., On meromorphic functions sharing two values, Analysis, 17(1997), 355-366.
- [6] Fang M., Lahiri I., Unique range set for certain meromorphic functions, Indian J. Math., 45(2)(2003), 141-150.
- [7] Fang M., Xu W., A note on a problem of Gross, (Chinese) Chin. Ann. Math., 18(A)5(1997), 563-568, English transl.: Chinese J. Contempt. Math. 18(4)(1997), 395-402.
- [8] Gross F., Factorization of meromorphic functions and some open problems, Proc. Conf. Univ. Kentucky, Lexington, Ky(1976); Lecture Notes in Math., 599(1977), 51-69, Springer(Berlin).
- [9] Han Q., Yi H.X., Some further results on meromorphic functions that share two sets, Ann. Polon. Math., 93(1)(2008), 17-31.
- [10] Hayman W.K., Meromorphic Functions, The Clarendon Press, Oxford, 1964.
- [11] Lahiri I., The range set of meromorphic derivatives, Northeast J. Math., 14(1998), 353-360.
- [12] Lahiri I., Value distribution of certain differential polynomials, Int. J. Math. Math. Sci., 28(2)(2001), 83-91.
- [13] Lahiri I., Weighted sharing and uniqueness of meromorphic functions, Nagoya Math. J., 161(2001), 193-206.
- [14] Lahiri I., Weighted value sharing and uniqueness of meromorphic functions, Complex Var. Theory Appl., 46(2001), 241-253.
- [15] Lahiri I., On a question of Hong Xun Yi, Arch. Math. (Brno), 38(2002), 119-128.
- [16] Lahiri I., Dewan S., Value distribution of the product of a meromorphic function and its derivative, Kodai Math. J., 26(2003), 95-100.
- [17] Li P., Yang C.C., On the unique range sets for meromorphic functions, Proc. Amer. Math. Soc., 124(1996), 177-185.
- [18] Li P., Yang C.C., Some further results on the unique range sets for meromorphic functions, Kodai Math. J., 18(1995) 437-450.
- [19] Yang C.C., On deficiencies of differential polynomials II, Math. Z., 125 (1972), 107-112.
- [20] Lin W.C., Yi H.X., Some further results on meromorphic functions that share two sets, Kyungpook Math. J., 43(2003), 73-85.
- [21] Yi H.X., Uniqueness of meromorphic functions and a question of Gross, Science in China (A), 37 (1994) 802-813.
- [22] Yi H.X., Unicity theorem for meromorphic functions or entire functions II, Bull. Austral. Math. Soc., 52(1995), 215-224.
- [23] Yi H.X., On a question of Gross concerning uniqueness of entire functions, Bull. Austral. Math. Soc., 57(1998) 343-349.
- [24] Yi H.X., Meromorphic functions that share two sets, Acta Mat. Sinica, 45(2002), 75-82. (in Chinese).
- [25] Yi H.X., Uniqueness theorems for meromorphic functions II, Indian J. Pure Appl. Math., 28(1997), 509-519.
- [26] Yi H.X., Lin W.C., Uniqueness of meromorphic functions and a question of Gross, Kyungpook Math. J., 46(2006), 437-444.
- [27] Yi H.X., LU W.R., Meromorphic functions that share two sets II, Acta Math. Sci. Ser. B Engl. Ed., 24(1)(2004), 83-90.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-b0b324e4-3e5d-488a-ac90-a9f0b7e28656