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Non-linear differential polynomials sharing small function with finite weight

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The purpose of the paper is to study the uniqueness of entire and meromorphic functions sharing a small function with finite weight. The results of the paper improve and extend some recent results due to Abhijit Banerjee and Pulak Sahoo [3].
Rocznik
Tom
Strony
57--75
Opis fizyczny
Bibliogr. 21 poz.
Twórcy
autor
  • Department of Mathematics, Central College Campus, Bangalore University, Bangalore-560 001, India
  • Department of Mathematics, Central College Campus, Bangalore University, Bangalore-560 001, India
Bibliografia
  • [1] Banerjee A., Uniqueness of certain non-linear differential polynomials sharing 1-points, Kyungpook Math. J., 51(1)(2011), 43-58.
  • [2] Banerjee A., Meromorphic functions sharing one value, Int. J. Math. Math. Sci., 22(2005), 3587-3598.
  • [3] Banerjee A., Sahoo P., Certain nonlinear differential polynomials sharing a nonzero polynomial with finite weight, Kyungpook Math. J., 55(2015), 653-666.
  • [4] Banerjee A., Majumder S., Non-linear differential polynomials sharing small function with finite weight, Arab. J. Math. (Springer), 4(1)(2015), 7-28.
  • [5] Fang M.-L., Uniqueness and value-sharing of entire functions, Comput. Math. Appl., 44(5-6)(2002), 823-831.
  • [6] Fang C.-Y., Fang M.-L., Uniqueness of meromorphic functions and differential polynomials, Comput. Math. Appl., 44(5-6)(2002), 607-617.
  • [7] Hayman W.K., Picard values of meromorphic functions and their derivatives, Ann. of Math., 70(2)(1959), 9-42.
  • [8] Hayman W.K., Meromorphic functions, Oxford Mathematical Monographs, Clarendon Press, Oxford, 1964.
  • [9] Lahiri I., Weighted value sharing and uniqueness of meromorphic functions, Complex Variables Theory Appl., 46(3)2001), 241-253.
  • [10] Lahiri I., Value distribution of certain differential polynomials, Int. J. Math. Math. Sci., 28(2)(2001), 83-91.
  • [11] Lahiri I., On a question of Hong Xun Yi, Arch. Math. (Brno), 38(2)(2002), 119-128.
  • [12] Lahiri I., Dewan S., Value distribution of the product of a meromorphic function and its derivative, Kodai Math. J., 26(1)(2003), 95-100.
  • [13] Li J.-D., Uniqueness of meromorphic functions and differential polynomials, Int. J. Math. Math. Sci., (2011), Art. ID 514218, 12 pp.
  • [14] Lin W., Yi H., Uniqueness theorems for meromorphic functions concerning fixed-points, Complex Var. Theory Appl., 49(11)(2004), 793-806.
  • [15] Xu H.-Y., Yi C.-F., Cao T.-B., Uniqueness of meromorphic functions and differential polynomials sharing one value with finite weight, Ann. Polon. Math., 95(1)(2009), 51-66.
  • [16] Yang C.C., On deficiencies of differential polynomials II, Math. Z., 125(1972), 107-112.
  • [17] Yang L., Value distribution theory, translated and revised from the 1982 Chinese original, Springer, Berlin, 1993.
  • [18] Yi H.-X., Meromorphic functions that share one or two values II, Kodai Math. J., 22(2)(1999), 264-272.
  • [19] Yi H.X., Yang C.C., Uniqueness theory of meromorphic functions, Science Press, Beijing, 1995.
  • [20] Zhang J., Uniqueness theorems for entire functions concerning fixed points, Comput. Math. Appl., 56(12)(2008), 3079-3087.
  • [21] Zhang J.-L., Yang L.-Z., Some results related to a conjecture of R. Brück, JIPAM. J. Inequal. Pure Appl. Math., 8(1)(2007), Article 18, 11 pp.
Uwagi
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-a6628e4c-db99-465f-8f7a-3da51f637a30
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