지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
이용수
초록· 키워드
오류제보하기
In this paper, we investigate the transcendental meromorphic solutions with finite order of two different types of difference equations \begin{align*} \sum_{j=1}^{n}a_jf(z+c_j)=\frac{P(z,f)}{Q(z,f)}=\frac{\sum_{k=0}^{p}b_kf^k}{\sum_{l=0}^{q}d_lf^l} \end{align*} and \begin{align*} \prod_{j=1}^{n}f(z+c_j)=\frac{P(z,f)}{Q(z,f)}=\frac{\sum_{k=0}^{p}b_kf^k}{\sum_{l=0}^{q}d_lf^l} \end{align*} that share three distinct values with another meromorphic function. Here $a_j$, $b_k$, $d_l$ are small functions of $f$ and $a_j\not\equiv 0(j=1,2,\ldots,n)$, $b_p\not\equiv 0$, $d_q\not\equiv 0$. $c_j\neq 0$ are pairwise distinct constants. $p$, $q$, $n$ are non-negative integers. $P(z,f)$ and $Q(z,f)$ are two mutually prime polynomials in $f$.
목차
등록된 정보가 없습니다.
참고문헌 (10)
참고문헌 신청
C.-C. Yang / 2003 / Uniqueness theory of meromorphic functions / Kluwer Academic Publishers Group
F. Lu / 2016 / On unicity of meromorphic solutions to difference equations of Malmquist type / Bull. Aust. Math. Soc 93 (1) : 92 ~ 98
G. Brosch / 1989 / Eindeutigkeissatze fur Meromorphe Funktionen / Technical University of Aachen
I. Laine / 1993 / Nevanlinna theory and complex differential equations / Walter de Gruyter & Co.
I. Laine / 2007 / Clunie theorems for difference and q-difference polynomials / J. Lond. Math. Soc. (2) 76 (3) : 556 ~ 566
F. Lu / 2016 / On unicity of meromorphic solutions to difference equations of Malmquist type / Bull. Aust. Math. Soc 93 (1) : 92 ~ 98
G. Brosch / 1989 / Eindeutigkeissatze fur Meromorphe Funktionen / Technical University of Aachen
I. Laine / 1993 / Nevanlinna theory and complex differential equations / Walter de Gruyter & Co.
I. Laine / 2007 / Clunie theorems for difference and q-difference polynomials / J. Lond. Math. Soc. (2) 76 (3) : 556 ~ 566
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
On unicity of meromorphic solutions of differential-difference equations
대한수학회지
2018 .01
-
Some results on meromorphic solutions of q-difference differential equations
대한수학회보
2023 .05
-
UNIQUENESS FOR THE POWER OF A MEROMORPHIC FUNCTION
Journal of applied mathematics & informatics
2017 .01
-
Uniqueness of meromorphic solutions of a certain type of difference equations
대한수학회보
2022 .07
-
Uniqueness of Meromorphic Functions Concerning the Difference Polynomials
Kyungpook Mathematical Journal
2015 .01
-
On a uniqueness question of meromorphic functions and partial shared values
대한수학회논문집
2024 .01
-
Meromorphic solutions of some non-linear difference equations with three exponential terms
대한수학회보
2024 .05
-
On the Growth of Transcendental Meromorphic Solutions of Certain algebraic Difference Equations
Kyungpook Mathematical Journal
2024 .03
-
RESULTS ON MEROMORPHIC FUNCTIONS SHARING THREE VALUES WITH THEIR DIFFERENCE OPERATORS
대한수학회보
2015 .01
-
Uniqueness theorem for a meromorphic function and its exact difference
대한수학회보
2020 .01
-
On meromorphic solutions of nonlinear partial differential-difference equations of first order in several complex variables
대한수학회보
2023 .03
-
Expressions of meromorphic solutions of a certain type of nonlinear complex differential equations
대한수학회보
2020 .01
-
UNIQUENESS AND VALUE SHARING PROBLEMS IN CLASS 𝓐 OF MEROMORPHIC FUNCTIONS
Journal of applied mathematics & informatics
2017 .01
-
Meromorphic functions partially shared values with their shifts
대한수학회보
2018 .01
-
Growth of solutions of linear differential-difference equations with coefficients having the same logarithmic order
한국수학논문집
2021 .09
-
Some growth properties based on $(p,q)$-th order of the integer translation of the composite entire and meromorphic functions
한국수학논문집
2018 .01
-
Uniqueness of meromorphic functions with their homogeneous and linear differential polynomials sharing a small function
대한수학회보
2017 .01
-
On partial value sharing results of meromorphic functions with their shifts and its applications
대한수학회보
2020 .01
-
Class of Meromorphic Functions Partially Shared Values with Their Differences or Shifts
Kyungpook Mathematical Journal
2021 .12
-
Meromorphic functions sharing four values with their difference operators or shifts
대한수학회보
2016 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0