منابع مشابه
Uniqueness Theorems of Difference Operator on Entire Functions
A function f(z) is called meromorphic, if it is analytic in the complex plane except at poles. It is assumed that the reader is familiar with the standard symbols and fundamental results of Nevanlinna theory such as the characteristic function T(r, f), and proximity function m(r, f), counting function N(r, f) (see [1, 2]). In addition we use S(r, f) denotes any quantity that satisfies the condi...
متن کاملFurther Results on Uniqueness of Entire Functions Sharing One Value
In this paper, we study the uniqueness problems of entire functions sharing one value with weight l (l = 0,1,2). The results in this paper improve the related results given by X.Y. Zhang and W.C. Lin, M.L. Fang, C.C. Yang and X.H. Hua, etc.
متن کاملUniqueness of Entire Functions Sharing Polynomials with Their Derivatives
and Applied Analysis 3 From the ideas of Theorem D to Theorem F, it is natural to ask whether the values a, b in Theorem C can be replaced by two polynomials Q1, Q2. The main purpose of this paper is to investigate this problem. We prove the following result. Theorem 1.2. Let Q1 z a1z a1,p−1zp−1 · · · a1,0 and Q2 z a2z a2,p−1zp−1 · · · a2,0 be two polynomials such that degQ1 z degQ2 z p (where ...
متن کاملUniqueness theorems of entire and meromorphic functions sharing small function
In this paper, we deal with some uniqueness theorems of two transcendental meromorphic functions with their non-linear differential polynomials sharing a small function. These results in this paper improve those given by of Fang and Hong [M.L.Fang and W.Hong,A unicity theorem for entire functions concerning differential polynomials,Indian J.Pure Appl.Math.32.(2001),No.9,1343-1348.], I.Lahiri an...
متن کاملOn the Integral Representations of Generalized Relative Type and Generalized Relative Weak Type of Entire Functions
In this paper we wish to establish the integral representations of generalized relative type and generalized relative weak type as introduced by Datta et al [9]. We also investigate their equivalence relation under some certain conditions.
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ژورنال
عنوان ژورنال: Bulletin of the Korean Mathematical Society
سال: 2004
ISSN: 1015-8634
DOI: 10.4134/bkms.2004.41.1.109