[PDF] Top 20 Unicity of meromorphic functions and their linear differential polynomials
Has 10000 "Unicity of meromorphic functions and their linear differential polynomials" found on our website. Below are the top 20 most common "Unicity of meromorphic functions and their linear differential polynomials".
Unicity of meromorphic functions and their linear differential polynomials
... of meromorphic functions in C such as the first and second main theorems, and the common notations such as the charac- teristic function T(r, f ), the proximity function m(r, f ) and the counting ... See full document
6
Unicity of Meromorphic Function Sharing One Small Function with Its Derivative
... nonconstant meromorphic functions; a meromorphic function az / ≡ ∞ is called a small functions with respect to f provided that T r, a Sr, f ... See full document
11
Unicity of Meromorphic Solutions of Some Nonlinear Difference Equations
... Theorem A: Let w ( z ) and u ( z ) be two nonconstant meromorphic functions. If w ( z ) and u ( z ) share 5 values IM (4 values CM, respectively) in the extended complex plane, then w z ( ) ≡ u z w z ( ) ( ... See full document
8
Uniqueness of Meromorphic Functions Whose Differential Polynomials Share One Value
... of meromorphic functions whose some nonlinear differential shares 1 IM with powers of the meromor- phic functions, where the degrees of the powers are equal to those of the non- linear ... See full document
9
Uniqueness of Meromorphic Functions of Differential Polynomials Sharing Two Values IM
... the meromorphic function f and by S r f ( , ) any quantity satisfying S r f ( , ) = o T r f ( ( , ) ) as r → ∞ possibly outside a set of finite linear ... See full document
7
Uniqueness of meromorphic functions concerning differential polynomials share one value
... In this paper, we study the uniqueness of meromorphic functions whose differential polynomial share a non-zero finite value. The results in this paper improve some results given by Fang (Math. Appl. ... See full document
13
Uniqueness of Transcendental Meromorphic Functions with Their Nonlinear Differential Polynomials Sharing the Small Function
... nonconstant meromorphic function f (z) on the complex plane C, we denote by S(r, f ) any quantity satisfying S(r, f ) = o(T(r, f )) as r → ∞ except possibly for a set of r of finite linear ...A ... See full document
14
Generalization of Uniqueness Theorems for Entire and Meromorphic Functions
... It is well known that if f and g share four distinct values CM, then f is a fractional transformation of g. In 1997, corresponding to one famous question of Hayman, C. C. Yang and X. H. Hua showed the similar conclusions ... See full document
8
Properties of q shift difference differential polynomials of meromorphic functions
... For transcendental meromorphic (resp. entire) function f of zero order and nonzero complex constant q, Zhang and Korhonen [] studied the value distribution of q- difference polynomials of ... See full document
16
On the minimal space of surjectivity question for linear transformations on vector spaces with applications to surjectivity of differential operators on locally convex spaces
... While no nonconstant linear partial differential operator maps the field of meromorphic functions onto itself, we construct a locally convex topological vector space of formal power seri[r] ... See full document
20
Linear differential equations for families of polynomials
... Some interesting identities and properties of the Poisson-Charlier, actuarial, and Meixner polynomials can be derived from umbral calculus (see [–]). Kim and Kim [] intro- duced nonlinear Changhee ... See full document
8
Analog of Hayman Conjecture for Linear Dierence Polynomials
... A meromorphic (respectively entire) function always means a non-constant function meromorphic (respectively analytic) in the complex ...a meromorphic function takes a certain value in the complex ... See full document
10
Properties of Meromorphic Solutions of a Class of Second Order Linear Differential Equations
... of meromorphic solutions of some second order linear differential equations, where it is assumed that the coefficients are meromorphic ... See full document
14
Meromorphic functions sharing small functions with their linear difference polynomials
... transcendental meromorphic function such that its order of growth ρ(f ) is not an integer or infinite, and let c ∈ C be a constant such that f (z +c) ≡ f ... See full document
6
Uniqueness of Meromorphic Functions and Differential Polynomials
... Let f and g be two nonconstant meromorphic functions. Let a be a finite complex number. We say that f and g share the value a CM counting multiplicities if f − a and g − a have the same zeros with the same ... See full document
13
Uniqueness of Meromorphic Functions with Their Nonlinear Differential Polynomials Share a Small Function
... Abstract In this paper we deal with the uniqueness of meromorphic functions when two nonlinear differential polynomials generated by two meromorphic functions share a small function.. Ke[r] ... See full document
5
Normality of meromorphic functions and differential polynomials share values
... meromorphic functions defined in D, all of whose zeros have multiplicity at least k + 1. If h(z) – 1 has at least two distinct zeros, h(f (k) ) + H(f ,f ,. . . ,f (k) ) – 1 has at most one distinct zero in D ... See full document
9
Notes on the uniqueness of meromorphic functions concerning differential polynomials
... of meromorphic functions mainly studies conditions under which there is a unique function satisfying the given ...two meromorphic functions while their derivatives share val- ...of ... See full document
14
Some Uniqueness Results of Q Shift Difference Polynomials Involving Sharing Functions
... of meromorphic functions (see ...difference polynomials of meromorphic functions, their shifts and difference operators (see ...q-shift polynomials of transcendental ... See full document
11
Growth of the Entire or Meromorphic Solutions of Differential-Difference Equations
... 9. Liu, K., Liu, X., Cao, T.B. : Value distribution of the difference opera- tor, Advances in Difference equations, Vol.2011, Art ID 234215,12 pages. 10. Yang, C.C., Hua, X.H.: Uniqueness and value sharing of ... See full document
10
Related subjects