[PDF] Top 20 On growth of meromorphic solutions for linear difference equations with meromorphic coefficients
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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
... a meromorphic function always means meromorphic in the whole complex plane C, and c always means a nonzero ...of meromorphic functions such as T(r, f ), m(r, f ) and N(r, f ) as explained in ...of ... See full document
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Growth of meromorphic solutions of linear difference equations without dominating coefficients
... a meromorphic function f (z), we denote by T (r, f ), N(r, f ) the characteristic function and the counting function of f (z), ...a meromorphic function f (z) ... See full document
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Results on meromorphic solutions of linear difference equations
... a meromorphic function means meromorphic in the complex plane, and we assume the reader is familiar with the basic notions of Nevanlinna theory (see, ...of growth of f , the ex- ponent of convergence ... 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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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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On meromorphic solutions of some linear differential equations with entire coefficients being Fabry gap series
... Theorems A and B give the properties of solutions of (.) when there is exactly one coefficient that has the maximal order. Thus, a natural question arises: how about the properties of solutions of (.) ... See full document
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Growth and Zeros of Meromorphic Solutions to Second-Order Linear Differential Equations
... the growth of meromorphic solutions to homogeneous and non-homogeneous second order linear differential equations f 00 + Af 0 + Bf = F, where A (z) , B (z) and F (z) are ... See full document
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Growth of meromorphic solutions of certain types of q difference differential equations
... we similarly obtain that d ≤ n. This completes the proof of Theorem .. Proof of Theorem . If f (z) is a transcendental meromorphic solution of (.), then by the Valiron-Mohon’ko identity ([], Theorem ... See full document
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Growth and fixed points of meromorphic solutions of nonhomogeneous linear differential equations
... the growth and fixed points of meromorphic solutions and their derivatives of higher-order nonhomogeneous linear differential equations with meromorphic ... 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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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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On the growth of solutions of second order complex differential equation with meromorphic coefficients
... have infinite order. However, there are some equations of the form (1.1) that possess a solution f ≢ 0 of finite order; for example, f(z) = e z satisfies f ’’ + e -z f ’ - (e -z + 1)f = 0. Thus, the main problem ... See full document
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3. Growth of solutions of linear diferential equations in the unit disk
... of growth in the complex plane [7, 14, 15, ...all solutions of ...all coefficients are polynomials, and Gundersen, Steinbart and Wang [17] listed all possible orders of solutions of ... 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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Value distribution of meromorphic solutions of certain difference Painlevé III equations
... and meromorphic in z with slow growth ...admissible meromorphic solutions of finite order, then either w satisfies a difference Riccati equation, or ...difference equations, which contains ... See full document
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Existence and growth of meromorphic solutions of some nonlinear q difference equations
... the growth of tran- scendental meromorphic solutions of complex q-difference equations ...q-difference equations) instead of complex difference equation ...involved equations are ... 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 and properties of meromorphic solutions of some q difference equations
... For the q-difference equation (.), Theorem C only considered the case when solutions have Borel exceptional zeros and poles. But how about the existence and growth of mero- morphic solutions of ... See full document
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