曹健

姓名：曹健  

职称：教授

邮箱：21caojian@hznu.edu.cn

学术交流:

1. 2012.7于洛阳师范学院参加第五届全国组合数学与图论会议，并作报告《Decomposition of exponential operators and problems of Carlitz type generating functions》

2. 2014.11于华南师范大学参加第六届全国组合数学与图论会议，并作报告《Formal solutions of q-difference equations and some problems of q-integrals and generating functions》.

3. 2016.11于浙江大学数学科学学院作报告《Homogeneous q-difference equations and generating functions for q-hypergeometric polynomials》.

4. 2017.7于英国肯特大学参加第14届“正交多项式、特殊函数及其应用”国际研讨会，并作报告《Homogeneous q-partial difference equations and some applications》.

5. 2017.9于华东师范大学参加特殊函数论研讨会，并作报告《Solutions of q-difference equations and some applications》.

6. 2017.11于福州大学参加第九届海峡两岸图论与组合数学会议，并作报告《Some problems on solutions of q-difference equations》.

7. 2018.7于美国宾夕法尼亚州立大学参加组合分析2018：纪念George Andrews 80华诞会议.

8. 2018.8于南开大学参加q-级数暑期研讨会，并作报告《Solutions of q-difference equations and some applications》.

9. 2018.8于安徽大学/中国科学技术大学参加第八届全国组合数学与图论大会，并作报告《Solutions of q-difference equations and related problems》.

10. 2019.5于华东师范大学参加特殊函数论研讨会，并作报告《A note on q-partial differential equations for generalized q-2D Hermite polynomials》.

11. 2019.6于英国伦敦大学学院(UCL)参加第25届国际差分方程及应用会议，并作报告《q-Partial difference equations and some applications》.

12. 2020.6于(线上)武汉大学参加2020年q-级数与特殊函数研讨会，并作报告《q-Difference equations and fractional q-calculus》.

13. 2020.9于(线上)中科院数学机械化重点实验室参加研讨会，并作报告《q-Difference equations and iterated fractional q-integrals》.

14. 2020.9于(线上)长沙理工大学参加学术活动，并作报告《Constructions of q-difference equations from the perspective of q-polynomials》.

15. 2020.11于(线上)温州大学参加学术活动，并作报告《A note on (q,c)-difference equations for generalized q-polynomials》.

16. 2020.11于(线上)土耳其参加第三届国际数学与相关科学会议(ICMRS2020)，并作报告《q-Difference equations for the generalized Cigler’s polynomials》.

学术研究：

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

2. Jian Cao, Notes on Askey–Roy integral and certain generating functions for q-polynomials, Journal of Mathematical Analysis and Applications, 409(2014), 435–445.

3. Jian Cao, A note on moment integrals and some applications, Journal of Mathematical Analysis and Applications, 410(2014), 348–360.

4. Jian Cao, A note on generalized q-difference equations for q-beta and Andrews–Askey integral, Journal of Mathematical Analysis and Applications, 412(2014), 841–851.

5. Jian Cao, q-difference equations for generalized homogeneous q-operators and certain generating functions, Journal of Difference Equations and Applications, 20(2014), 837–851.

6. Jian Cao and Tianxin Cai, q-Difference equations of moment integrals for transformational identities and generating functions, Journal of Difference Equations and Applications, 20(2014), 1592–1608.

7. Jian Cao, Homogeneous q-difference equations and generating functions for q-hypergeometric polynomials. The Ramanujan Journal, 40(2016), 177–192.

8. Jian Cao and Da-Wei Niu, A note on q-difference equations for Cigler's polynomials, Journal of Difference Equations and Applications, 22(2016), 1880–1892.

9. Jian Cao, Homogeneous q-partial difference equations and some applications, Advances in Applied Mathematics, 84(2017), 47–72.

10. Jian Cao and Da-Wei Niu, q-difference equations for Askey–Wilson integrals via q-polynomials, Journal of Mathematical Analysis and Applications, 452(2017), 830–845.

11. Xue-Fang Wang and Jian Cao*, q-difference equations for the generalized Cigler’s polynomials, Journal of Difference Equations and Applications, 24(2018), 479–502.

12. Jian Cao, H.M. Srivastava and Zhi-Guo Liu, Some iterated fractional q-integrals and their applications, Fractional Calculus and Applied Analysis, 21(2018), 672–695.

13. Jian Cao, A note on q-difference equations for Ramanujan’s integrals, Ramanujan Journal, 48(2019), 63–73.

14. Jian Cao, A note on fractional q-integrals and applications to generating functions and q-Mittag-Leffler function, Journal of Fractional Calculus and Applications, 10(2019), 136–146.

15. Jian Cao, Bin-Bin Xu, Sama Arjika, A note on generalized q-difference equations for general Al-Salam–Carlitz polynomials. Advances in Difference Equations 2020, Paper No. 668.

16. Jian Cao, Hong-Li Zhou, Sama Arjika, Generalized homogeneous q-difference equations for q-polynomials and their applications to generating functions and fractional q-integrals. Advances in Difference Equations, 2021, 329.