Meromorphic functions sharing small functions with their difference polynomial in several variables
نویسندگان
چکیده
The aim of this paper is to deal with the uniqueness problem on meromorphic functions in $ \mathbb{C}^{m} sharing small their difference polynomial, and results obtained can be seen as some extensions previous from one complex variable several variables.
منابع مشابه
Difference Picard theorem for meromorphic functions of several variables
It is shown that if n ∈ N, c ∈ C, and three distinct values of a meromorphic function f : C → P of hyper-order ς(f) strictly less than 2/3 have forward invariant pre-images with respect to a translation τ : C → C, τ(z) = z + c, then f is a periodic function with period c. This result can be seen as a generalization of M. Green’s Picard-type theorem in the special case where ς(f) < 2/3, since th...
متن کاملEntire functions sharing a small entire function with their difference operators
In this paper, we mainly investigate the uniqueness of the entire function sharing a small entire function with its high difference operators. We obtain one results, which can give a negative answer to an uniqueness question relate to the Bruck conjecture dealt by Liu and Yang. Meanwhile, we also establish a difference analogue of the Bruck conjecture for entire functions of order less than 2, ...
متن کاملUniqueness of meromorphic functions ans Q-differential polynomials sharing small functions
The paper concerns interesting problems related to the field of Complex Analysis, in particular, Nevanlinna theory of meromorphic functions. We have studied certain uniqueness problem on differential polynomials of meromorphic functions sharing a small function. Outside, in this paper, we also consider the uniqueness of $q-$ shift difference - differential polynomials of mero...
متن کاملOn uniqueness of meromorphic functions sharing five small functions on annuli
The purpose of this article is to investigate the uniqueness of meromorphic functions sharing five small functions on annuli.
متن کاملApproximately generalized additive functions in several variables
The goal of this paper is to investigate the solutionand stability in random normed spaces, in non--Archimedean spacesand also in $p$--Banach spaces and finally the stability using thealternative fixed point of generalized additive functions inseveral variables.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Hacettepe journal of mathematics and statistics
سال: 2023
ISSN: ['1303-5010']
DOI: https://doi.org/10.15672/hujms.1090815