[PDF] Top 20 Value distribution of q difference differential polynomials of entire functions
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Value distribution of q difference differential polynomials of entire functions
... exceptional value, then any nonzero finite value c must not be the Borel exceptional value of H(z), so H(z) takes every nonzero value c ∈ C infinitely often, since σ (H) = s, then λ(H – c) = σ ... See full document
6
Value Distributions and Uniqueness of Difference Polynomials
... difference polynomials of entire functions or meromorphic functions with the condition λ1/f < ρf can be found in 9– ...an entire function and is also an improvement of 13, Theorem ... See full document
12
Value distribution of difference and q difference polynomials
... Recently, a number of papers concerning the complex difference products and the differ- ences analogues of Nevanlinna’s theory have been published (see [–] for example), and many excellent results have been obtained. In ... See full document
9
Value Distribution and Uniqueness Theorems for Difference of Entire and Meromorphic Functions
... for difference equations of entire functions of small ...the difference analogue of logarithmic derivative f(z+c) f(z) were given by Halburd and Korhonen [1] ...of differential ... See full document
13
Some Uniqueness Results of Q Shift Difference Polynomials Involving Sharing Functions
... in value distribution of difference operators of meromorphic functions (see ...of difference polynomials of meromorphic functions, their shifts and difference ... See full document
11
Zeros and value sharing results for q-shifts difference and differential polynomials
... exceptional value, a transcendental meromorphic functions has at most two picard exceptional ...of value distributions of differential polynomials is Hayman conjecture ...non-zero ... See full document
11
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
The zeros of q shift difference polynomials of meromorphic functions
... In this paper, we shall assume that the reader is familiar with the fundamental results and the standard notation of the Nevanlinna value distribution theory of meromorphic func- tions (see [, ]). The ... See full document
10
Entire solutions of certain class of differential difference equations
... In this paper, we shall adopt the standard notations in Nevanlinna’s value distribution theory of meromorphic functions. For example, the characteristic function T(r, f ), the counting function of ... See full document
9
Analog of Hayman Conjecture for Linear Dierence Polynomials
... (respectively entire) function always means a non-constant function meromorphic (respectively analytic) in the complex ...of value distribution is concerned with the density of points where a ... See full document
10
Growth of the Entire or Meromorphic Solutions of Differential-Difference Equations
... : Value distribution of the difference opera- tor, Advances in Difference equations, ...and value sharing of meromorphic functions, ... See full document
10
Properties of q shift difference differential polynomials of meromorphic functions
... For a transcendental meromorphic function f of finite order, herein and hereinafter, c is a nonzero complex constant and a(z) is small function with respect to f , Liu et al. [], Chen et al. [], and Luo and Lin [] ... See full document
16
The zeros of complex differential difference polynomials
... non-zero value infinitely ...non-zero value infinitely ...differential polynomials has always been an important research problem in value distribution of meromorphic ...ros ... See full document
11
On the value distribution and uniqueness of difference polynomials of meromorphic functions
... This purpose of this paper is to study the problem of the zeros and uniqueness of com- plex difference polynomials of meromorphic functions. The fundamental results and the standard notations of the ... See full document
15
On a class of analytic functions associated to a complex domain concerning q differential difference operator
... A function υ ∈ S is recalled starlike w.r.t. (0, 0) in U if the linear cut associating the origin to every other point of υ(z), |z| = r < 1 is set entirely in υ(z), |z| = r < 1 (every point of υ(z) be observable ... See full document
12
On the approximation of analytic functions by the $q$-Bernstein polynomials in the case $q>1$
... for q > 1 in some cases the approximation with the q-Bernstein polynomials in C[0, 1] may be faster than with the classical ones (see [10, Theorem 6]), there exist analytic functions on ... See full document
8
On the images of entire functions under the limit q Bernstein operator
... limit q-Bernstein operator emerges as a limit for the sequence of the q-Bernstein operators in the case 0 < q < 1, see [2] and ...of q-Meyer-K¨onig and Zeller ... See full document
6
Meromorphic functions sharing small functions with their linear difference polynomials
... nonconstant entire function of finite order ρ(f ), η ∈ ...finite value a CM, and for a finite value b = a, f (z) – b and f (z + η) – b have max { , [ρ(f )] – } distinct common zeros of multiplicity ≥ ... See full document
6
q-Lidstone polynomials and existence results for q-boundary value problems
... of q-Lidstone polynomials by using Green’s function of certain q-differential ...The q-Fourier series expansions of these polynomials are ...linear q-difference ... See full document
18
Uniqueness of entire functions sharing two values with their difference operators
... (the reduced counting function) of zeros of f (z) – a with respect to all the points such that they are zeros of f (z) – a with multiplicity p and zeros of g(z) – a with multiplicity q. In addition, by S(r, f ) we ... See full document
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