Weighted value sharing and uniqueness of meromorphic functions
From MaRDI portal
Publication:3152046
DOI10.1080/17476930108815411zbMath1025.30027OpenAlexW2039520814MaRDI QIDQ3152046
Publication date: 22 October 2002
Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/17476930108815411
Related Items
UNIQUENESS OF MEROMORPHIC FUNCTIONS CONCERNING DIFFERENTIAL POLYNOMIALS WITH REGARD TO MULTIPLICITY SHARING A SMALL FUNCTION ⋮ A Journey from Gross-Problem to Fujimoto-Condition ⋮ Uniqueness of entire functions whose difference polynomials share a polynomial with finite weight ⋮ Uniqueness of non-homogeneous differential polynomials of meromorphic functions sharing a small function ⋮ Uniqueness of Meromorphic functions concerning k-th derivatives and difference operators ⋮ On a result of Zhang and Xu concerning their open problem ⋮ Unique range sets - a further study ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Uniqueness of meromorphic functions sharing sets with its linear difference polynomials ⋮ Unnamed Item ⋮ Value Sharing Results for Generalized Shifts of Entire Functions ⋮ Unique range sets: a further study. II ⋮ On the uniqueness of L-functions and meromorphic functions sharing a set ⋮ Value sharing of non linear differential polynomials with the glimpse of normal family ⋮ Uniqueness of meromorphic function under weighted sharing of two or three sets exclusively in \(\mathbb{C}\) ⋮ UNICITY OF MEROMORPHIC FUNCTION WITH THEIR SHIFT OPERATOR SHARING SMALL FUNCTION ⋮ Entire function sharing two polynomials with its $k$th derivative ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On uniqueness of \(L\)-functions in terms of zeros of strong uniqueness polynomial ⋮ Investigations on unique range sets of meromorphic functions in an angular domain ⋮ A power of a combination of meromorphic function with its shift sharing small function with its derivative ⋮ On the uniqueness of a meromorphic function and its higher difference operator under the purview of two shared sets ⋮ Uniqueness of meromorphic functions concerning differential-difference polynomials ⋮ AN ENTIRE FUNCTION SHARING TWO VALUES WITH ITS LINEAR DIFFERENTIAL POLYNOMIAL ⋮ Unnamed Item ⋮ Uniqueness of meromorphic functions concerning value sharing of nonlinear differential monomials ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On uniqueness of meromorphic functions sharing three sets ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ LINEAR DIFFERENTIAL POLYNOMIALS SHARING A SET OF THE ROOTS OF UNITY ⋮ Uniqueness of meromorphic functions and differential polynomials ⋮ Certain non-linear differential polynomials having common poles sharing a non zero polynomial with finite weight ⋮ Weighted sharing of non-linear differential polynomials sharing small function with regard to multiplicity ⋮ On the Uniqueness of Certain Type of Difference Polynomial Sharing a Small Function ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On a question of Gross ⋮ On the uniqueness of meromorphic functions sharing two sets ⋮ A uniqueness polynomial for equi-polar meromorphic functions ⋮ Non linear differential polynomials sharing fixed points with finite weights ⋮ On the uniqueness of meromorphic functions sharing two sets ⋮ Further investigation "On an open problem of Zhang and Xu" ⋮ A note on some results of Li and Li ⋮ Unnamed Item ⋮ Unnamed Item ⋮ LINEAR DIFFERENTIAL POLYNOMIALS WEIGHTED-SHARING A SET OF ROOTS OF UNITY ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Meromorphic functions sharing two sets ⋮ Non-linear differential polynomials sharing small function with finite weight ⋮ Weighted sharing and uniqueness of entire functions ⋮ Non-linear differential polynomials sharing small function with finite weight ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Further investigations on some results of Yu ⋮ Sufficient conditions for periodicity of meromorphic function and its shift operator sharing one or more sets with finite weight ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Small function sharing results on uniqueness of meromorphic functions concerning differential polynomials ⋮ Uniqueness and two shared set problems of meromorphic functions in a different angle ⋮ Unnamed Item ⋮ Differential polynomials of meromorphic functions sharing a set of values ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A result on a question of Lü, Li and Yang ⋮ On some sufficient conditions for periodicity of meromorphic function under new shared sets ⋮ A power of a meromorphic function sharing two small functions with a derivative of the power ⋮ Complex meromorphic functions \(f^{\prime}P^{\prime}(f)\) and \(g^{\prime}P^{\prime}(g)\) sharing small function with finite weight ⋮ Correction to: ``Some results on \(L\)-functions related to sharing two finite sets ⋮ On the uniqueness of certain type of differential-difference polynomials sharing a polynomial ⋮ Nevanlinna's five values theorem on annuli ⋮ Further results on uniqueness of derivatives of meromorphic functions sharing three sets ⋮ Uniqueness of difference-differential polynomials of meromorphic functions sharing a small function \(\mathrm{IM}\) ⋮ Uniqueness of \(L\) function with special class of meromorphic function under restricted sharing of sets ⋮ Uniqueness of meromorphic functions concerning their difference operators and derivatives ⋮ Results on uniqueness of entire functions whose certain difference polynomials share a small function ⋮ Weighted sharing of three values ⋮ On an open problem of Xiao-Bin Zhang and Jun-Feng Xu ⋮ On a question of Yi ⋮ Uniqueness of meromorphic functions with their reduced linear \(c\)-shift operators sharing two or more values or sets ⋮ Bi-unique range sets with smallest cardinalities for the derivatives of meromorphic functions ⋮ On the existence of unique range sets generated by non-critically injective polynomials and related issues ⋮ Weighted sharing of a set and uniqueness of meromorphic functions with derivatives ⋮ Some results on uniqueness of meromorphic functions sharing a polynomial ⋮ Uniqueness of meromorphic functions and a question of K. Tohge ⋮ Nonlinear differential polynomials sharing certain value or fixed point ⋮ Some further \(q\)-shift difference results on Hayman conjecture ⋮ Some further studies on the uniqueness of meromorphic functions sharing three sets ⋮ Uniqueness of entire functions concerning differential-difference polynomials sharing small functions ⋮ Uniqueness of meromorphic functions whose nonlinear differential polynomials share a polynomial ⋮ Uniqueness of meromorphic functions sharing two values ⋮ On a result of G. Brosch ⋮ On Uniqueness of Meromorphic Functions Sharing Three Sets with Finite Weights ⋮ Generalization of value distribution and uniqueness of certain types of difference polynomials ⋮ Meromorphic function that share a set of small functions with its derivative ⋮ Unique range sets for powers of meromorphic functions ⋮ Certain non-linear differential polynomials sharing a non zero polynomial ⋮ A uniqueness polynomial generating a unique range set and vice versa ⋮ Meromorphic functions sharing fixed points and poles with finite weights ⋮ Uniqueness of meromorphic functions sharing two sets with least possible cardinalities ⋮ Uniqueness of a polynomial and a differential monomial sharing a small function ⋮ On the uniqueness of certain type of shift polynomial sharing a small function ⋮ Uniqueness of meromorphic functions sharing one value or fixed points ⋮ A new type of unique range set with deficient values ⋮ A polynomial shared by certain differential polynomials ⋮ Uniqueness of meromorphic functions sharing two sets with finite weight ⋮ Meromorphic functions of restricted hyper-order sharing small functions with their linear shift delay differential operator ⋮ On a result of Ozawa concerning uniqueness of meromorphic functions. II. ⋮ Uniqueness of meromorphic functions sharing two finite sets in \({\mathbb {C}}\) with finite weight II ⋮ Unique range sets for powers of meromorphic functions. II ⋮ On uniqueness of two meromorphic functions sharing three sets with finite weights ⋮ On some results of Lahiri. ⋮ Further investigations on a question of C. C. Yang ⋮ Further investigations on a question of Zhang and Lü ⋮ The periodicity of meromorphic functions when they share two sets with finite weights ⋮ On the uniqueness of certain type of nonlinear differential polynomials with regard to multiplicity sharing a small function ⋮ Some uniqueness results related to nonlinear differential polynomials sharing 1-points ⋮ Results on meromorphic function sharing two sets with its linear \(\boldsymbol{c} \)-difference operator ⋮ On the cardinality of unique range sets with weight one ⋮ Bi-unique range sets for meromorphic functions ⋮ On a conjecture of Y. H. Cao and X. B. Zhang ⋮ Meromorphic functions with deficiencies generating unique range sets ⋮ Uniqueness theorems related to weighted sharing of two sets ⋮ On a certain nonlinear differential monomial sharing a nonzero polynomial ⋮ Uniqueness theorems on meromorphic functions sharing one value ⋮ Uniqueness of differential polynomials of meromorphic functions sharing a small function without counting multiplicity ⋮ On certain non-linear differential polynomial sharing a non-zero polynomial ⋮ On the uniqueness of meromorphic functions and its difference operator sharing values or sets ⋮ Small functions and uniqueness of meromorphic functions ⋮ Uniqueness of \(L\) function with special class of meromorphic function in the light of two shared sets ⋮ Some uniqueness results related to the Brück conjecture ⋮ On the uniqueness of certain types of differential-difference polynomials ⋮ Uniqueness and set sharing of derivatives of meromorphic functions ⋮ Uniqueness of polynomial and differential monomial ⋮ On results of G. Brosch and T.C. Alzahary ⋮ On the characterisations of a new class of strong uniqueness polynomials generating unique range sets ⋮ Value sharing of meromorphic functions and some questions of Dyavanal ⋮ Uniqueness of meromorphic function that share a set of small functions with its derivative ⋮ On unicity of meromorphic functions and their derivatives ⋮ Some further results on weighted sharing three values and Brosch's theorem ⋮ On two shared values problem related to uniqueness of meromorphic function and its \(k\)th derivative ⋮ Fujimoto's theorem -- a further study ⋮ Properties of \(q\)-shift difference-differential polynomials of meromorphic functions ⋮ Weighted value sharing and uniqueness problems concerning \(L\)-functions and certain meromorphic functions ⋮ Weighted sharing of a small function by a meromorphic function and its derivative ⋮ Two and three shared sets uniqueness problem on restricted and unrestricted ordered meromorphic functions ⋮ Meromorphic function sharing three sets with its shift, \(q\)-shift, \(q\)-difference and analogous operators ⋮ Uniqueness results related to L-functions and certain differential polynomials ⋮ Meromorphic functions of restricted hyper-order sharing one or two sets with its linear \(C\)-shift operator ⋮ A note on the uniqueness of certain types of differential-difference polynomials ⋮ On uniqueness of l-sharing of differential polynomials of meromorphic functions ⋮ Some results on uniqueness of meromorphic functions concerning differential polynomials ⋮ Uniqueness of differential polynomials of meromorphic functions and small function sharing ⋮ The partially shared values and small functions for meromorphic functions in a \(k\)-punctured complex plane ⋮ Derivatives of meromorphic functions sharing two sets with least cardinalities ⋮ Meromorphic functions whose certain differential polynomials share a small function with finite weight ⋮ Results on \(L\)-functions and certain uniqueness questions of Gross ⋮ On uniqueness of meromorphic functions and their derivatives ⋮ Uniqueness of some differential-difference polynomials of entire functions sharing small function ⋮ On an open problem of Zhang and Xu ⋮ Meromorphic functions sharing three weighted values ⋮ On a result of Ozawa concerning uniqueness of meromorphic functions ⋮ Unique range set for meromorphic functions with deficient values ⋮ A power of a meromorphic function sharing a set with its higher order derivative ⋮ Uniqueness of meromorphic functions whose certain differential polynomials share a small function ⋮ Uniqueness of entire functions related to difference polynomials ⋮ ON A RESULT OF Q. HAN, S. MORI AND K. TOHGE CONCERNING UNIQUESNESS OF MEROMORPHIC FUNCTIONS
