[PDF] Top 20 The poles and growth of solutions of systems of complex difference equations

... the growth and existence of meromorphic so- lutions of some systems of complex difference equations and obtained some existence theorems and estimates on the proximity function and the counting ... See full document

... the growth of transcendental meromorphic solutions of some types of systems of complex functional equations and obtain the lower bounds for Nevanlinna lower order for meromorphic ... See full document

... meromorphic solutions of sys- tems of complex difference ...meromorphic solutions of some classes of systems of complex dif- ference ...the growth of meromorphic so- lutions of ... See full document

... difference equations and systems have been investigated in the last twenty years ...the systems studied there, such as the ones in [, , –, –, – , –, –], were essentially obtained ... See full document

... In this paper, a meromorphic function means being meromorphic in the whole complex plane. We also assume that the readers are familiar with the usual notations of Nevanlinna theory (see, e.g., [–]). Especially, ... See full document

... differential equations, in the differential equations systems, in the integral equations, in the difference equations, in the differential-difference equations, and ... See full document

... 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

... the Picard exceptional value of f n f 0 may only be zero. This conjecture has been proved by many authors. e.g., Hayman [3] proved that if f is a transcendental meromorphic function and n≥ 3,then f n f 0 takes every ... See full document

... Recently, some results about the connections between complex dynamics with linear differential equations have been obtained; see [10, 14]. In the following, we shall consider Question 1.1 from the dynamical ... See full document

... meromorphic solutions of complex functional equations (see ...the growth of meromorphic solutions of q-difference equations and obtained results which extended some theorems given ... See full document

... λ(f – a) to denote, respectively, the order, the hyperorder, and the exponent of convergence of the sequence of a-points of a meromorphic function f (z) in the complex plane, where a ∈ C ∪ {∞}. Furthermore, we can ... See full document

... investigate solutions of higher-order complex q-difference ...of growth and value distribution of meromorphic solutions of differential ...q-difference equations, Barnett et ...q-difference ... See full document

... difference equations, difference product and q-difference in the com- plex plane C have been an active topic of ...the growth of solutions of difference equations, value distribution and ... See full document

... difference equations, difference product and q-difference in the complex plane C, considerable attention was paid to the growth of solutions of difference equations, value distribution and ... See full document

... 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

... more in comparison, when solvent acts as ligand (135.05), indicates the red shift. REd shift may be conveniently used as a measure of metal-ligand covalent bonding. The effect may be visualized to be due to an expansion ... See full document

... The growth, development and urban densification are related to consumption and energy ...Energy Systems - SEU, which represent the combined processes of consumption and energy acquisition as a supply of ... See full document

... besides already mentioned mathematicians and other French ones, mentioned in [64] sev- eral Italians, such as Brunacci, Paoli, and Malfatti, who had worked on difference equa- tions. If we follow further the nineteenth ... See full document

... meromorphic solutions of certain types of q-difference differential equations, obtain estimates of the growth order of their meromorphic solutions, and give a number of examples to show what our ... See full document

... There are many authors investigated the growthiof solutions of (1.1). Z. X. Chen and C.C. Yang in 2002 [12] proved that 𝜌 2 (𝑓) = 𝜌(𝐴 0 ) provided that the order of 𝐴 0 dominated the maximum order of other ... See full document