Name: Xiaomin Li
Current position:Professor
Contact Information:
School of Mathematical Science,
Ocean University of China,
238 Songling Road,
Qingdao, China, 266100
Email: xmli01267@gmail.com
Cell Phone: (86)13969873832
Education:
Ph.D. in Complex analysis theory，July 1999
Department of Mathematics, Shandong University, Jinan Shandong 250100, P. R. China,
M. Sc. in Complex analysis theory，July 1994
Department of Mathematics, East China Normal University, Shanghai 200062, P. R. China
B. Sc. in Mathematics，July 1989
Qufu Normal University
B. Sc. in Mathematics，July 1987
Tai an Teachers College
Professional Experience:
September 2011 –Present:
Department of Mathematics, Ocean University of China, Qingdao, Shandong 266100, P. R. China
Current position: Associate Professor
Teaching Courses: Calculus, Value Distribution Theory, Some Special Topics in Complex Analysis, Nevanlinna Theory and Complex Differential Equations, Uniqueness theory of meromorphic functions
September 2010 -- September 2011:
Department of Physics and Mathematics, University of Eastern Finland, P. O. Box 111, 80101 Joensuu, Finland.
Current position: Associate Professor
December2004 -- September 2010:
Department of Mathematics, Ocean University of China, Qingdao, Shandong 266100, P. R. China
Current position: Associate Professor
Teaching Courses: Calculus, Complex Function, Abstract Algebra, Mathematical and Physical Methods, Value Distribution Theory, Some Special Topics in Complex Analysis, Nevanlinna Theory and Complex Differential Equations, Uniqueness theory of meromorphic functions .
July 2002 -- December2004:
Department of Mathematics, Ocean University of China, Qingdao, Shandong 266100, P. R. China
Current position: Teaching Assistant,
Teaching Courses: Calculus, Complex Function, Abstract Algebra.
Research Interests:
1. Distribution theory ( Nevanlinna theory) and its applications ： Uniqueness theory of meromorphic functions，normal family theory of meromorphic functions， complex differential equation theory， difference Nevanlinna theory and its applications such as complex difference equation theory, etc.
2010 AMS Classifications: Primary 30D35; Secondary 30D20, 30D30
2. Complex analytic dynamical system ：iteration of rational functions，iteration of entire Functions, etc. 2010 AMS Classifications: Primary 30D05; Secondary 32H50
Grants:
1.National Natural Science Foundation of Shandong Province, Some questions of meromorphic functions and complex differential equations. 2010.01-2011.12（First）
2.National Natural Science Foundation of China (No. 11171184)，Functional equation、complex differential equations and difference equations.2012.1-2014.12. （Second）
3.Natural Science Foundation of Shandong province (No.10771121),Uniqueness of functions and complex differential equations. 2008.01-2010.12 （Third）
Selected Publications:
[1] Li, Xiao-Min; Yi, Hong-Xun, Entire functions sharing an entire function of smaller order with their difference operators,Acta Mathematica
Sinica, English Series，March 2014, Volume 30, Issue 3, pp 481-498.
[2] Li, Xiao-Min; Yi, Hong-Xun, Results on certain meromorphic functions sharing a nonconstant polynomial with their derivatives,Houston Journal of
Mathematics，Volume 40, No. 1, 2014， Pages 209-227.
[3]Li, Xiao-Min; Yi, Hong-Xun, Uniqueness of meromorphic functions whose nonlinear differential polynomials share one value or have the same fixedpoints in an angular domain, Acta Mathematica Scientia 2014,34B(2), Pages 1-18.
[4] Li, Xiao-Min; Yi, Hong-Xun Results on value distribution of L-functions. Math. Nachr. 286 (2013), no. 13, 1326–1336.
[5] Li, Xiao-Min; Yang, Xiao; Yi, Hong-Xun Entire functions sharing an entire function of smaller order with their shifts. Proc. Japan Acad. Ser. A
Math. Sci. 89 (2013), no. 2, 34-39.
[6] Li, Xiao-Min; Yi, Hong-Xun; Kang, Cong-Yun Notes on entire
functions sharing an entire function of a smaller order with their difference
operators. Arch. Math. (Basel) 99 (2012), no. 3, 261-270.
[7] Li, Xiao-Min Entire functions sharing a finite set with their
difference operators. Comput. Methods Funct. Theory 12 (2012), no. 1, 307-328.
[8] Li, Xiaomin; Yi, Hongxun; Hu, Haiyan Uniqueness results of
meromorphic functions whose derivatives share four small functions. Acta Math. Sci. Ser. B Engl. Ed. 32 (2012), no. 4, 1593-1606.
[9] Li, Xiao-Min; Gao, Ling Uniqueness results for a nonlinear differential polynomial. Bull. Malays. Math. Sci. Soc. (2) 35 (2012), no. 3, 727-743.
[10] Li, X.-M.; Yi, Hongxun. Uniqueness of entire functions, which
share an entire function of lower order, and their derivatives. (Russian) Sovrem.
Mat. Prilozh. No. 68, Uravneniya s Chastnymi Proizvodnymi (2011), 19--33;
translation in J. Math. Sci. (N. Y.) 175 (2011), no. 1, 17-32.
[11] Li, Xiao-Min; Li, Wen-Li; Yi, Hong-Xun; Wen, Zhi-Tao. Uniqueness theorems for entire functions whose difference polynomials share a
meromorphic function of a smaller order. Ann. Polon. Math. 102 (2011), no. 2, 111-127.
[12] Li, Xiao-Min; Kang, Cong-Yun; Yi, Hong-Xun Uniqueness
theorems of entire functions sharing a nonzero complex number with their difference operators. Arch. Math. (Basel) 96 (2011), no. 6, 577-587.
[13]Li, Xiao-Min; Yi, Hong-Xun Uniqueness of meromorphic
functions whose certain nonlinear differential polynomials share a polynomial.
Comput. Math. Appl. 62 (2011), no. 2, 539-550.
[14]Li, Xiao-Min; Wen, Zhi-Tao. Uniqueness theorems of meromorphic functions sharing three values. Complex Var. Elliptic Equ. 56 (2011),
no. 1-4, 215-232.
[15]Li, Xiao Min; Hu, Hai Yan. Uniqueness of meromorphic
functions whose nonlinear differential polynomials have one nonzero pseudo
common value. (Chinese) J. Ocean Univ. China Nat. Sci. 40 (2010), no. 12, 154-158.
[16]Li, Xiao Min; Wen, Zhi Tao. Uniqueness of meromorphic
functions whose differential polynomials share one value. (Chinese) J. Ocean Univ. China Nat. Sci. 40 (2010), no. 10, 145-150.
[17]Li, Xiao Min; Gao, Ling; Cao, Jian. Growth of the solutions of a
linear differential equation and its applications. (Chinese) J. Ocean Univ. China Nat. Sci. 40 (2010), no. 8, 151-154.
[18]Li, Xiao-Min; Yi, Hong-Xun. Uniqueness of meromorphic
functions sharing a meromorphic function of a smaller order with their derivatives. Ann. Polon. Math. 98 (2010), no. 3, 207-219.
[19]Li, Xiao-Min; Yi, Hong-Xun. The uniqueness theorems of
meromorphic functions sharing three values and one pair of polynomials. Bull.
Korean Math. Soc. 47 (2010), no. 4, 751-765.
[20] Li, Xiao-Min; Gao, Ling. Meromorphic functions sharing a
nonzero polynomial CM. Bull. Korean Math. Soc. 47 (2010), no. 2, 319-339.
[21] Li, Xiao-Min; Yi, Hong-Xun. Some further results on the
characteristics and uniqueness of meromorphic functions with three weighted
sharing values. Southeast Asian Bull. Math. 34 (2010), no. 1, 133-144.
[22] Li, Xiao-Min; Yi, Hong-Xun. On uniqueness theorems of
meromorphic functions concerning weighted sharing of three values. Bull. Malays. Math. Sci. Soc. (2) 33 (2010), no. 1, 1-16.
[23] Li, Xiao-Min; Yi, Hong-Xun. On the uniqueness of an entire
function sharing a small entire function with some linear differential polynomial.
Czechoslovak Math. J. 59(134) (2009), no. 4, 1039-1058.
[24] Li, Xiao-Min; Yi, Hong-Xun. On uniqueness of meromorphic
functions sharing three values and a set consisting of two small meromorphic
functions. Ann. Polon. Math. 96 (2009), no. 1, 1-23.
[25] Wang, Jun; Li, Xiao-Min. The uniqueness of an entire function
sharing a small entire function with its derivatives. J. Math. Anal. Appl. 354 (2009), no. 2, 478-489.
[26] Li, Xiao-Min; Yi, Hong-Xun. Uniqueness of meromorphic
functions whose derivatives share four small functions. J. Math. Anal. Appl. 352
(2009), no. 2, 573-582.
[27] Li, Xiao-Min; Yi, Hong-Xun. Further results on weighted sharing of values for meromorphic functions. Math. Comput. Modelling 49 (2009),
no. 3-4, 635-646.
[28]Li, Xiao-Min; Yi, Hong-Xun. Meromorphic functions with three
weighted sharing values. Kyungpook Math. J. 48 (2008), no. 4, 623-636.
[29]Li, Xiao-Min; Yi, Hong-Xun. On a result of Terglane
concerning three weighted sharing values. Southeast Asian Bull. Math. 32 (2008),
no. 6, 1101-1114.
[30]Li, Xiao-Min; Yi, Hong-Xun. Some further results on entire
functions sharing a polynomial with their linear differential polynomials. Taiwanese J. Math. 12 (2008), no. 9, 2405-2425.
[31]Li, Xiao-Min; Yi, Hong-Xun. Some results on the regular
solutions of a linear differential equation. Comput. Math. Appl. 56 (2008), no. 9,
2210-2221.
[32] Li, Xiao-Min; Yi, Hong-Xun. Some further results on weighted
sharing of values for meromorphic functions concerning a result of Terglane.
Kyungpook Math. J. 48 (2008), no. 3, 419-431.
[33]Xiao, Yong-Huo; Li, Xiao-Min. An entire function sharing one
small entire function with its derivative. Appl. Math. E-Notes 8 (2008), 238-245.
[34]Li, Xiao-Min; Gao, Cun-Chen. Entire functions sharing one
polynomial with their derivatives. Proc. Indian Acad. Sci. Math. Sci. 118 (2008), no. 1, 13-26.
[35]Li, Xiao-Min; Yi, Hong-Xun. Weighted sharing of
meromorphic functions relative to small functions. J. Math. Anal. Appl. 343 (2008), no. 2, 919-931.
[36]Li, Xiao Min; Xiao, Yong Huo. Uniqueness of an entire function
sharing two distinct small functions with its th derivative. (Chinese) J. Ocean Univ. China Nat. Sci. 38 (2008), no. 2, 335-339.
[37]Li, Xiao-Min; Gao, Cun-Chen. The uniqueness of entire
functions and their derivatives. Southeast Asian Bull. Math. 32 (2008), no. 1, 125-
140.
[38] Li, Xiao-Min; Yi, Hong-Xun. The uniqueness theorems of
meromorphic functions sharing three values and one pair of values. J. Math. Anal. Appl. 339 (2008), no. 1, 609-621.
[39] Yi, Hong-Xun; Li, Xiao-Min. Meromorphic functions sharing
four values. Proc. Japan Acad. Ser. A Math. Sci. 83 (2007), no. 7, 123-128.
[40] Li, Xiao-Min; Yi, Hong-Xun. On uniqueness of an entire
function and its derivatives. Arch. Math. (Basel) 89 (2007), no. 3, 216-225.
[41]Li, Xiao-Min; Yi, Hong-Xun. The uniqueness theorems of
meromorphic functions sharing three values and a set with two elements. J. Math. Anal. Appl. 336 (2007), no. 1, 348-362.
[42]Li, Xiao-Min; Xu, Hui-Cai. On the uniqueness theorems of
meromorphic functions with weighted sharing of three values. J. Math. Anal. Appl. 335 (2007), no. 1, 642-656.
[43] Li, Xiao-Min; Yi, Hong-Xun. Results on weighted sharing of
values for meromorphic functions. Ann. Polon. Math. 92 (2007), no. 1, 55-67.
[44] Li, Chang-Jun; Li, Xiao-Min; Wang, Li-Mei. On the characteristics of meromorphic functions with three weighted sharing values. J.
Math. Anal. Appl. 332 (2007), no. 2, 1087-1096.
[45] Li, Xiao-Min; Yi, Hong-Xun. An entire function and its
derivatives sharing a polynomial. J. Math. Anal. Appl. 330 (2007), no. 1, 66-79.
[46] Li, Xiao-Min; Gao, Cun-Chen. On a th-order differential
equation. Ann. Polon. Math. 89 (2006), no. 1, 53-63.
[47] Li, Xiao Min; Yao, Zeng Shan. Uniqueness of an entire function
and its -th derivative. (Chinese) J. Ocean Univ. China Nat. Sci. 35 (2005), no. 6,
917-920.
[48] Li, Xiao-min. The uniqueness of meromorphic function
concerning homogeneous differential polynomial. J. Math. (Wuhan) 23 (2003), no. 4, 477-483.
[49] Li, Xiao Min. A further result on the meromorphic functions
sharing three values CM. (Chinese) J. Math. Study 36 (2003), no. 2, 151-162.
[50] Li, Xiao-Min; Yi, Hong-Xun; Li, Wen-Li. Value distribution of certain difference polynomials of meromorphic functions, to appear in the RockyMountain Journal of Mathematics.
[51] Li, Xiao-Min; Yi, Hong-Xun. Certain meromorphic functions sharing a nonzero polynomial with their linear polynomials, to appear in theBulletin of the Belgian Mathematical Society—Simon Stevin.
[52] Li, Xiao-Min; Yi, Hong-Xun Shi Yue.Value Sharing of Certain Differential Polynomials and their Shifts of Meromorphic Functions, to appear in the Computational Methods and Function Theory.
[53] Li, Wen-Li; Li, Xiao-Min. Results on uniqueness of entire functions related to difference polynomial, to appear in the Bulletin of the Malaysian Mathematical Science Society.
[54] Li, Xiao-Min; Yi, Hong-Xun. Meromorphic functions sharing two or three
values with their derivatives in some angular domains, to appear in the
Journal of Contemporary Mathematical Analysis.