联系方式

13868132526

21caojian@163.com

21caojian@gmail.com

职称

副教授

Associate   Professor

研究领域

q-级数、q-正交多项式、q-差分方程、不等式

q-series、q-orthogonal   polynomial、q-difference equation、inequality

个人简历

2000.9---2004.6  河南理工大学 数学与信息科学学院  学士

2004.9---2007.6  河南理工大学 数学与信息科学学院  硕士

2007.9---2010.6  华东师范大学 理工学院数学系      博士

2010.7----至今   杭州师范大学 理学院数学系 副教授、硕士生导师

2012.9----2015.3  浙江大学       理学部数学系      博士后

2012.8----至今   美国数学会评论员 (No. 086248)

2015.1----至今     美国工业与应用数学会会员 (No.   020030493)

发表SCI学术论文二十余篇，入选杭州市属高校中青年学术带头人、杭州市“131”人才第三层次、杭州市多媒体课件比赛三等奖、杭州师范大学优秀班主任等称号.

2000.9---2004.6  B. S from School   of Mathematics and Informatics, Henan Polytechnic University,

2004.9---2007.6  M.   S from School of Mathematics and Informatics, Henan Polytechnic    University,

2007.9---2010.6  Ph. D from Department of Mathematics, East China    Normal University,

2010.7---Current  Lecturer of Mathematics, Hangzhou Normal    University,

2012.9---2015.3  Post Doctor   from Faculty of Science, Zhejiang    University,

  2012.8---Current   AMS Reviewer ( No. 086248).

教学情况

开设课程：高等数学、离散数学、概率与数理统计

Open Courses: Advanced Mathematics, Discrete Mathematics,   Probability and Mathematical Statistics

科研情况

一、近3年主持的项目：(The   hosted projects of nearly three years’)

1. 国家天元基金 (No. 11226298 ),

2. 中国博士后基金   (No. 2012M521155),

3. 浙江省博士后基金 (No. Bsh1201021),

4. 浙江省青年基金 (No. LQ13A010021).

1. Tianyuan Special   Funds of the National Natural Science Foundation ofChina(No.   11226298),

2.ChinaPostdoctoral Science Foundation (No. 2012M521155),

3. Zhejiang Projects for Postdoctoral Research   Preferred Funds (No. Bsh1201021),

4. Zhejiang   Provincial Natural Science Foundation ofChina(No. LQ13A010021).

二、近3年发表的论文：(The   published papers of nearly three years’)

8. Jian Cao, Homogeneous q-difference equations and   generating functions for q-hypergeometric polynomials，Ramanujan J. 2015, DOI:   10.1007/s11139-015-9676-x.  (SCI)

7.  Jian Cao and Tianxin   Cai, q-Difference equations of moment integrals for   transformational identities and generating functions. J. Difference Equ.   Appl. 20(2014), 1592–1608.  (SCI)

6. Jian   Cao, q-difference equations for generalized homogeneous q-operators and   certain generating functions. J. Difference Equ. Appl. 20 (2014), 837–851.  (SCI)

5. Jian   Cao, A note on generalized q-difference equations for q-beta and   Andrews-Askey integral. J. Math. Anal. Appl. 412 (2014), 841–851.  (SCI)

4. Jian   Cao, A note on moment integrals and some applications. J. Math. Anal. Appl. 410   (2014), 348–360.  (SCI)

3. Jian Cao, Notes on Askey-Roy integral and certain generating   functions for q-polynomials. J. Math. Anal. Appl. 409 (2014), 435–445.  (SCI)

2．Jian Cao, A note on q-integrals and certain generating   functions, Studies in Applied Matheatics, 131(2013), 105–118.  (SCI)

1．Jian Cao, Generalizations of certain Carlitz's trilinear and   Srivastava–Agarwal type generating functions, Journal of Mathematical   Analysis and Applications, 396(2012), 351–362.  (SCI)

三、参加学术会议

1. 2012.7于洛阳参加第五届全国组合数学与图论会议，并做报告《Decomposition of exponential operators and   problems of Carlitz type generating functions》

2.   2014.11于广州参加第六届全国组合数学与图论会议，并做报告《Formal solutions of q-difference equations and some problems of   integrals and generating functions》