Uniqueness of differential polynomials of meromorphic functions sharing a small function without counting multiplicity

• Autorzy: Kieu-Oanh B. T. , Thuy N. T. T.

Identyfikatory

DOI

10.1515/fascmath-2016-0020

• Języki publikacji: EN

Abstrakty

EN

The paper concerns interesting problems related to the field of Complex Analysis, in particular Nevanlinna theory of meromorphic functions. The author have studied certain uniqueness problem on differential polynomials of meromorphic functions sharing a small function without counting multiplicity. The results of this paper are extension of some problems studied by K. Boussaf et. al. in [2] and generalization of some results of S.S. Bhoosnurmath et. al. in [4].

Słowa kluczowe

EN

uniqueness theorem; differential polynomials; meromorphic function; Nevanlinna theory

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2016
• Tom: Nr 57
• Strony: 121--135
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Kieu-Oanh B. T.

• Thai Nguyen Pedagogical College, Quang Trung Street, Thai Nguyen City, Vietnam

autor

Thuy N. T. T.

• Thai Nguyen Pedagogical College, Quang Trung Street, Thai Nguyen City, Vietnam

Bibliografia

• [1] An T.T.H., Wang J.T.Y., Wong P.M., Strong uniqueness polynomials: the complex case, Complex. Var., 49(1)(2004), 25-54.
• [2] Boussaf K., Escassut A., Ojeda J., Complex meromorphic functions f'P'(f), g'P'(g) sharing a small function, Indagationes Mathematicae, 24(1)(2013), 15-41.
• [3] Boussaf K., Escassut A., Ojeda J., P-adic meromorphic functions functions f'P'(f), g'P'(g)a sharing a small function, Bull. Sci. Math., 136(2)(2012), 172-200.
• [4] Bhoosnurmath S.S., Pujari V.L., Weighted sharing and uniqueness of entire or meromorphic functions, Bull. Korean Math. Soc., 52(1)(2015), 13-33.
• [5] Escassut A., Meromorphic functions of uniqueness, Bull. Sci. Math., 131(3)(2007), 219-241.
• [6] Escassut A., Haddad L., Vidal R., URS and URSIM and non URS, J. Number Theory, 75(1999), 133-144.
• [7] Lahiri I., Weighted sharing and uniqueness of meromorphic functions, Nagoya. J. Math., 161(2001), 193-206.
• [8] Lahiri I., Weighted value sharing and uniqueness of meromorphic functions, Complex Variables Theory Appl., 46(2001), 241-253.
• [9] Fujimoto H., On uniqueness of meromorphic functions sharing finite sets, Amer. J. Math., 122(6)(2000), 1175-1203.
• [10] Frank G., Reinders M., A unique range set for meromorphic functions with 11 elements, Complex. Var. Theory. Appl., 37(1998), 185-193.
• [11] Li P., Yang C.C., Some further results on the unique range sets of meromorphic functions, Kodai Math. J., 18(1995), 473-450.
• [12] Lin W., Yi H., Uniqueness theorems for meromorphic functions concerning fixed - points, Complex. Var. Theory Appl., 49(11)(2004), 793-806.
• [13] Lin W., Yi H., Uniqueness theorems for meromorphic functions, Indian. J. Pure Appl. Math., 35(2004), 121-132.
• [14] Thin N.V., Phuong H.T., Uniqueness of meromorphic functions sharing a value or small function, Math. Slovaca, 66(4)(2016), 829-844.
• [15] Yang C.C., Hua X.H., Uniqueness and value sharing of meromorphic function, Ann. Acad. Sci. Fenn. Math., 202(2)(1997), 395-406.
• [16] Zhang X., Value sharing of meromorphic functions and some questions of Dyavanal, Front. Math. China, 7(1)(2012), 161-176.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.