Acta mathematica scientia,Series B ›› 2021, Vol. 41 ›› Issue (6): 1911-1920.doi: 10.1007/s10473-021-0608-0
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Zongxuan CHEN1, Ranran ZHANG2, Shuangting LAN3, Chuangxin CHEN4
Received:
2021-03-10
Revised:
2021-07-14
Online:
2021-12-25
Published:
2021-12-27
Supported by:
CLC Number:
Zongxuan CHEN, Ranran ZHANG, Shuangting LAN, Chuangxin CHEN. THE GROWTH OF DIFFERENCE EQUATIONS AND DIFFERENTIAL EQUATIONS[J].Acta mathematica scientia,Series B, 2021, 41(6): 1911-1920.
[1] | Bank S, Laine I, On the oscillation theory of f'' + Af=0 where A is entire. Trans Amer Math Soc, 1982, 273:351-363 |
[2] | Bergweiler W, Langley J K. Zeros of differences of meromorphic functions. Math Proc Camb Phil Soc, 2007, 142:133-147 |
[3] | Chen C X, Chen Z X. Some results concerning meromorphic solutions for the Pielou Logistic equation. Bull Malays Math Sci Soc, 2020, 43:1775-1792 |
[4] | Chen Z X. Complex Differences and Difference Equations, Mathematics Monograph Series 29. Beijing:Science Press, 2014 |
[5] | Chen Z X. Growth and zeros of meromorphic solution of some linear difference equations. J Math Anal Appl, 2011, 373:235-241 |
[6] | Chen Z X. On growth, zeros and poles of meromorphic solutions of linear and nonlinear difference equations. Science China Math, 2011, 54(10):2123-2133 |
[7] | Chen Z X. The growth of solutions of f'' + e-zf' + Q(z) f=0 where the order (Q)=1. Science in China (series A), 2002, 45(3):290-300 |
[8] | Chen Z X, Shon K H. On existence of solutions of difference Riccati equation. Acta Mathematica Scientia, 2019, 39B(1):1-9 |
[9] | Chiang Y M, Gao S A. On a problem in complex oscillation theory of periodic second order linear differential equations and some related perturbation results. Ann Acad Sci Fenn Math, 2002, 27:273-290 |
[10] | Chiang Y M, Feng S J. On the Nevanlinna characteristic of f(z+η) and difference equations in the complex plane. Ramanujan J, 2008, 16:105-129 |
[11] | Cui N, Chen Z X. The conjecture on unity of meromorphic functions concerning their differences. J Difference Equa Appl, 2016, 22(10):1452-1471 |
[12] | Frank G, Hellerstein S. On the meromorphic solutions of non-homogeneous linear differetial equations with polynomial coefficients. Proc London Math Soc, 1986, 53(3):407-428 |
[13] | Gao S A, Chen Z X, Chen T W. Complex Oscillation Theory of Linear Differential Equations. Wuhan:Huazhong University of Science and Technology Press, 1998(Chinese) |
[14] | Gundersen G. Finite order solutions of second order linear differential equations. Trans Amer Math Soc, 1988, 305:415-429 |
[15] | Halburd R G, Korhonen R. Meromorphic solution of difference equation, integrability and the discrete Painlevé equations. J Phys A:Math Theor, 2007, 40:1-38 |
[16] | Hayman W K. Meromorphic Functions. Oxford:Clarendon Press, 1964 |
[17] | He Y Z, Xiao X Z. Algebroid Functions and Ordinary Differential Equations. Beijing:Science Press, 1988(Chinese) |
[18] | Ishizaki K, Wen Z T. Binomial series and complex difference equations. J Math Anal Appl, 2021, 497(1):Article 124844 |
[19] | Ishizaki K, Yanagihara N. Wiman-Valiron method for difference equations. Nagoya Math J, 2004, 175:75-102 |
[20] | Laine I. Nevanlinna Theory and Complex Differential Equations. Berlin:W de Gruyter, 1993 |
[21] | Lan S T, Chen Z X. On fixed points of meromorphic functions f(z) and f(z+c), Δc f(z). Acta Mathematica Scientia, 2019, 39B(5):1277-1289 |
[22] | Yang L. Value Distribution Theory. Beijing:Science Press, 1993 |
[23] | Zhang R R, Chen Z X. Fixed points of meromorphic functions and of their differences, divided differences and shifts. Acta Mathematica Sinica, English Series, 2016, 32(10):1189-1202 |
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