Results 71 to 80 of about 835 (184)
Algebraic values of meromorphic functions—II
Topology, 1965 AbstractWe continue the study of the possible distributions of numbers at which certain meromorphic functions take on algebraic values. In particular, a 1-parameter subgroup of a linear group or an abelian variety which contains sufficiently many algebraic points must itself be an algebraic subgroup.
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Borel Directions and Uniqueness of Meromorphic Functions
Abstract and Applied Analysis, 2013 We investigate the relationship between Borel directions and uniqueness of meromorphic functions and obtain some results of meromorphic functions sharing four distinct values IM and one set in an angular domain containing a Borel line.
Keyu Zhang, HongYan Xu, Hongxun Yi
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Quasinormal Families of Meromorphic Functions
Revista Matemática Iberoamericana, 2005 Let \mathcal{F} be a family of functions meromorphic on the plane domain D , all of whose zeros are multiple. Suppose that f'(z)\ne 1 for all f\in ...
Pang, Xuecheng +2 more
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Some theorems on meromorphic functions [PDF]
Proceedings of the American Mathematical Society, 1950 In this paper we extend Theorems A and B. Let (5) F(z) = zk7 exp (H(z))f(z)/g(z) be any meromorphic function of finite order p. Here H(z) is a polynomial of degree h; f(z) and g(z) are canonical products of orders pi, P2 and genera p, q respectively. The genus of F(z) is P =max (p, q, h) and we have p-1
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Meromorphic mappings of torus onto the Riemann sphere
Karpatsʹkì Matematičnì Publìkacìï, 2013 The meromorphic mappings of the two dimensional torus onto the Riemann sphere are studied. Their connections with loxodromic meromorphic functions in the punctured plane are considered.
A. Ya. Khrystiyanyn, A. A. Kondratyuk
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Shared Values for Meromorphic Functions
Advances in Mathematics, 1995 The value sharing problems of meromorphic functions of one variable have gamed significant attention in the value distribution theory during the last two decades. Recently attempts have been made to extend the results or studies to meromorphic functions of several complex variables. Let \(f\) denote a nonconstant meromorphic function in \(\mathbb{C}^n\)
Berenstein, C.A., Chang, D.C., Li, B.Q.
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Fixed Points of Meromorphic Functions and Their Higher Order Differences and Shifts
Open Mathematics, 2019 In this paper, we investigate the relationships between fixed points of meromorphic functions, and their higher order differences and shifts, and generalize the case of fixed points into the more general case for first order difference and shift ...
Chen Hai-Ying, Zheng Xiu-Min
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Meromorphic mappings of torus onto the Riemann sphere
Karpatsʹkì Matematičnì Publìkacìï, 2012 The meromorphic mappings of the two dimensional torus onto the Riemann sphere are studied. Their connections with loxodromic meromorphic functions in the punctured plane are considered.
Khrystiyanyn A.Ya., Kondratyuk A.A.
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Unicity Results Concerning of difference monomials of L-function and a meromorphic function
Ratio MathematicaIn this paper, we study the value distribution of $\mathcal{L}$-function in the extend Selberg class and a non-constant transcendental meromorphic $\mathsf{f}$ function with finitely many zeros of finite order, sharing a polynomial with its difference ...
Harina Waghamore P, Roopa M.
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