[PDF] Top 20 Growth of meromorphic solutions of linear difference equations without dominating coefficients
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Growth of meromorphic solutions of linear difference equations without dominating coefficients
... stand for the exponents of convergence of zero sequence of f and the deficiency of f at the point a, respectively. Let α(z) be a meromorphic function. We say that α(z) is a small function with respect to f (z), if ... See full document
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On growth of meromorphic solutions for linear difference equations with meromorphic coefficients
... Liu Advances in Difference Equations 2013, 2013 60 http //www advancesindifferenceequations com/content/2013/1/60 R ES EA RCH Open Access On growth of meromorphic solutions for linear difference equat[.] ... See full document
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Results on the growth of meromorphic solutions of some linear difference equations with meromorphic coefficients
... the growth of meromorphic solutions of some linear difference ...the growth of meromorphic solutions when most coefficients in such equations are meromorphic ... See full document
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On the meromorphic solutions of some linear difference equations
... the growth of meromorphic solutions of some linear difference ...the growth of meromorphic solutions when most coefficients in such equations have the same order, ... See full document
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Value Distribution and Uniqueness Theorems for Difference of Entire and Meromorphic Functions
... for difference equations of entire functions of small ...growth. Growth estimates for the difference analogue of logarithmic derivative f(z+c) f(z) were given by Halburd and Korhonen ... See full document
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Results on meromorphic solutions of linear difference equations
... difference equations and difference analogues of Nevanlinna theory. For the growth of meromorphic solutions of difference equations, Chiang and Feng [, ] considered the polynomial ... See full document
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Growth of solutions of some kinds of linear difference equations
... many results on the growth and the exponent of convergence of the sequence of zeros of meromorphic solutions of (.). For instance, in [–], the authors considered the case when there is exactly ... See full document
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Growth and Zeros of Meromorphic Solutions to Second-Order Linear Differential Equations
... These results were improved by Bela¨ıdi in [2, 3] by considering more general conditions to higher order linear differential equations with entire coefficients. Recently in [8] Chen extended the ... See full document
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8. Growth and fixed-points of meromorphic solutions of higher-order nonhomogeneous linear differential equations
... transcendental meromorphic functions(see ...of solutions of the general differential ...of solutions of second order linear differential equations with entire ...homogeneous ... See full document
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Growth and Complex Oscillation of Linear Differential Equations with Meromorphic Coefficients of [p,q] − ϕ Order
... the growth of solutions of complex higher order linear differential equations with meromorphic coeffi- cients under some assumptions for [p, q] − ϕ order and we obtain some results ... See full document
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Growth of meromorphic solutions of certain types of q difference differential equations
... Entire solutions of f(kz) = kf (z)f ...On meromorphic solutions of certain functional ...order solutions of second order linear differential ... See full document
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On hyper order of solutions of higher order linear differential equations with meromorphic coefficients
... Theorem . and the remaining theorems involve the logarithmic measure and densities of set, which will be recalled in Section . In this paper, we study the growth of solutions of (.) and (.), and one ... See full document
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Properties of Meromorphic Solutions of a Class of Second Order Linear Differential Equations
... the growth of meromorphic solutions of some second order linear differential equations, where it is assumed that the coefficients are meromorphic ... See full document
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Borel exceptional values of meromorphic solutions of Painlevé III difference equations
... and meromorphic in z with slow growth ...admissible meromorphic solution of finite order, then either w satisfies a difference Riccati equation or ...difference equations include Painlevé I, II ... See full document
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Properties of Solutions of Complex Differential Equations in the Unit Disc
... by meromorphic and analytic solutions of second order linear differential equations with meromorphic coefficients and obtained the following ... See full document
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Existence of zero order meromorphic solutions of certain q difference equations
... In what follows, we use the short notation ¯ f ≡ f (z + 1) and f ≡ f (z – 1). A meromorphic solution f of a difference equation is called admissible if all the coefficients of the equation are in S(f ). In ... See full document
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Properties of meromorphic solutions of Painlevé III difference equations
... admissible meromorphic solution of finite order, then either w satisfies a difference Riccati equation or equation ...difference equations. These simple difference equations include Painlevé I, II ... See full document
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Meromorphic solutions of Painlevé III difference equations with Borel exceptional values
... of meromorphic solutions of Painlevé III difference ...rational solutions of the equation assume only one form and the transcendental solutions have at most one Borel exceptional ... See full document
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On meromorphic solutions of some linear differential equations with entire coefficients being Fabry gap series
... Now, suppose that f (z) is a transcendental meromorphic solution of (.), whose poles are of uniformly bounded multiplicities such that λ( f ) < μ(f ). And we suppose on the contrary that σ(f ) < ∞. Since ... See full document
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Existence and properties of meromorphic solutions of some q difference equations
... A meromorphic function f (z) means meromorphic in the complex plane C . If no poles occur, then f (z) reduces to an entire function. Assume that n(r, f ) counts the number of poles of f in |z| ≤ r, each ... See full document
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