논문KCI 등재
Entire solutions of differential-difference equations of Fermat type
1
조회
0
다운로드
1
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper, we extend some previous works by Liu et al. on the existence of transcendental entire solutions of differential-difference equations of Fermat type. In addition, we also present a precise description of the associated entire solutions.
Abstract
In this paper, we extend some previous works by Liu et al. on the existence of transcendental entire solutions of differential-difference equations of Fermat type. In addition, we also present a precise description of the associated entire solutions.
참고문헌 (18)
- W. Bergweiler, "Zeros of differences of meromorphic functions", Math. Proc. Cambridge Philos. Soc, 142(1), pp.133~147 (2007)[DOI]
- G. Ganapathy Iyer, "On certain functional equations", J. Indian Math. Soc, 3, pp.312~315 (1939)
- F. Gross, "On the equation f n + g n = 1", Bull. Amer. Math. Soc, 72, pp.86~88 (1966)[DOI]
- Factorization of meromorphic functions, "F. Gross", Mathematics Research Center, Naval Research Laboratory, ~ (1972)
- R. Halburd, "Holomorphic curves with shift-invariant hy"perplane preimages", Trans. Amer. Math. Soc, 366(8), pp.4267~4298 (2014)[DOI]
- W. K. Hayman, "Slowly growing integral and subharmonic functions", Comment. Math. Helv, 34, pp.75~84 (1960)[DOI]
- W. K. Hayman, "Meromorphic functions, Oxford Mathematical Monographs" (1964), Clarendon Press
- I. Laine, "De Gruyter Studies in Mathematics" (1993), Walter de Gruyter & Co
- K. Liu, "Meromorphic functions sharing a set with applications to difference equations", J. Math. Anal. Appl, 359(1), pp.384~393 (2009)[DOI]
- Kai Liu, "The generalized Fermat type difference equations", 대한수학회보, 55(6), pp.1845~1858 (2018), 대한수학회
- Kai Liu, "On Entire Solutions of Some Differential-Difference Equations", Computational Methods and Function Theory, 13(3), pp.433~447 (2013), Springer Science and Business Media LLC[DOI]
- P. Montel, "Lecons sur les r´ecurrences et leurs applications" (1957), Gauthier-Villar
- J. -F. Tang, "The transcendental meromorphic solutions of a certain type of nonlinear differential equations", J. Math. Anal. Appl, 334(1), pp.517~527 (2007)[DOI]
- K. Yamanoi, "The second main theorem for small functions and related problems", Acta Math, 192(2), pp.225~294 (2004)[DOI]
- C. Yang, "A generalization of a theorem of P. Montel on entire functions", Proc. Amer. Math. Soc, 26, pp.332~334 (1970)[DOI]
- C. -C. Yang, "On the transcendental solutions of a certain type of nonlinear differential equations", Arch. Math. (Basel), 82(5), pp.442~448 (2004)[DOI]
- C. C. Yang, "Uniqueness Theory of Meromorphic Functions" (2003), Science Press
- Zhang Jie, "On some special difference equations of Malmquist type", 대한수학회보, 55(1), pp.51~61 (2018), 대한수학회
관련 논문AI추천
On the existence of solutions of Fermat-type differential-difference equationsJun-Fan Chen, Shu-Qing Lin대한수학회 · 대한수학회보2021 · 제58권 제4호Entire solutions of differential-difference equation and Fermat type $q$-difference differential equationsMin Feng Chen, Zong Sheng Gao대한수학회 · 대한수학회논문집2015 · 제30권 제4호A note on meromorphic solutions of complex differential-difference equationsLian-Zhong Yang, Xiao-Guang Qi대한수학회 · 대한수학회보2019 · 제56권 제3호On solutions to some nonlinear difference and differential equationsPei-Chu Hu, Wei Chen, Yingying Zhang대한수학회 · 대한수학회지2016 · 제53권 제4호On entire solutions of nonlinear difference-differential equationsSheng Li, Songmin Wang대한수학회 · 대한수학회보2013 · 제50권 제5호On unicity of meromorphic solutions of differential-difference equationsPei-Chu Hu, Qiong-Yan Wang대한수학회 · 대한수학회지2018 · 제55권 제4호
이 간행물의 다른 논문 (17건)
On weighted Browder spectrumPreeti Dharmarha, Sarita Kumaripp. 1-13On the existence of Graham partitions with congruence conditions김지영, 이상준, 이종규, 박부성, 김병찬pp. 15-25One-sided fattening of the graph in the real projective plane최재우, 주항연pp. 27-43Bernstein-Walsh type inequalities for derivatives of algebraic polynomialsCevahir D. Gun, Fahreddin G. Abdullayevpp. 45-72The images of locally finite $\mathcal{E}$-derivations of polynomial algebrasDan Yan, Lintong Lvpp. 73-82
