赵铁洪

姓名： 赵铁洪  

职称： 教授

邮箱： tiehong.zhao@hznu.edu.cn

个人简介：

2002.09—2006.06 湖州师范学院数学系 本科

2006.09—2008.06 湖南大学数学学院 硕士

2008.09—2012.03 巴黎第六大学数学研究所 博士

2012.03—2021.12 杭师大数学学院 副教授

2022.01—至今 杭师大数学学院 教授

其间，2019.09—2020.03 法国格勒诺布尔大学Fourier研究所 访问学者

教学与课程：

本科课程：数学分析、解析几何、复变函数、实变函数、高等数学、线性代数

研究生课程：微分几何、黎曼曲面、离散群几何、复双曲几何

研究兴趣：

主要从事复双曲Möbius群的离散性和几何拓扑性质以及Ramanujan模方程、超几何函数理论方面的研究。其研究成果在Trans. Amer. Math. Soc., Math. Proc. Cambridge. Philo. Soc., Pacific J. Math., Acta Math Scientia, Rev. R. Acad. Cienc. Exactas. Fís. Nat. Ser. A Mat., Indian J. Pure Appl. Math., Appl Math Mech-Engl. Ed., Appl. Comput. Math., Math Meth Appl Sci., Comput. Methods Func. Theory, Osaka. J. Math, Glasg. Math J.等国际高水平期刊上发表论文50余篇，其中Esi高被引论文10篇，热点论文5篇。

主持基金项目：

1.国家自然科学基金面上项目，11971142，2020.01-2023.12 在研

2.国家自然科学基金青年项目，11301127, 2014.01-2016.12 已结题

3.浙江省自然科学基金面上项目，LY19A010012, 2019.01-2021.12 已结题

4.国家基金面上协作子项目，11871202，2019.01-2021.12 已结题

5.留学回国人员科研启动基金（第47批），人才专项

学术研究：

1.Chen Ya-jun(学生), 赵铁洪: On the monotonicity and convexity for generalized elliptic integral of the first kind. Rev. R. Acad. Cienc. Exactas. Fís. Nat. Ser. A Mat. 116(2) (2022), Article No. 77.

2.赵铁洪, Wang Miao-kun, Chu Yu-ming: On the bounds of the perimeter of an ellipse. Acta Math. Scientia, 42(2) (2022), 491-501.

3.赵铁洪, Wang Miao-kun, Chu Yu-ming: Landen inequalities for Gaussian hypergeometric function. Rev. R. Acad. Cienc. Exactas. Fís. Nat. Ser. A Mat. 116(1) (2022), Article No. 53.

4.赵铁洪, Qian Wei-mao, Chu-Yu-ming: Sharp power mean bounds for the tangent and hyperolic sine means. J. Math. Inequal. 15(4) (2021), 1459-1472.

5.赵铁洪, Shen Zhong-hua, Chu Yu-ming: Sharp power mean bounds for the lemniscate type means. Rev. R. Acad. Cienc. Exactas. Fís. Nat. Ser. A Mat. 114(4) (2021), Article No. 175.

6.赵铁洪, Bhayo B. A., Chu Yu-ming: Inequalities for generalized Grötzsch ring function. Comput. Meth. Func. Theory, (2021), https://doi.org/10.1007/s40315-021-00415-3.

7.赵铁洪, Khan, M. R., Chu, Yuming, Issakhov, A., Ali R., Khan, S.: Entropy generation approach with heat and mass transfer in magnetohydrodynamic stagnation point flow of a tangent hyperbolic nanofluid. Appl. Math. Mech-Engl. Ed. 42(8) (2021), 1205-1218.

8.Li Yan-lin, 赵铁洪: Sharp generalized Seiffert mean bounds for the Toader mean of order 4. Rev. R. Acad. Cienc. Exactas. Fís. Nat. Ser. A Mat. 115(3) (2021), Article No. 106.

9.赵铁洪, Qian Wei-mao, Chu-Yu-ming: On approximating the arc lemniscate functions. Indian J. Pure Appl. Math. (2021), https://doi.org/10.1007/s13226-021-00016-9.

10.赵铁洪, Wang Miao-kun, Chu Yu-ming: Concavity and bounds involving generalized elliptic integral of the first kind. J. Math. Inequal. 15(2) (2021), 701-724.

11.赵铁洪, Khan, M. Ijaz, Chu, Yu-Ming: Artificial neural networking (ANN) analysis for heat and entropy generation in flow of non-Newtonian fluid between two rotating disks. Math. Meth. Appl. Sci. (2021), https://doi.org/10.1002/mma.7310.

12.Li Yan-lin, Wang Zhi-gang, 赵铁洪: Geometric algebra of singular ruled surfaces. Adv. Appl. Clifford Algebras, 31(2) (2021), Art. No. 19.

13.赵铁洪, Wang Miao-kun, Chu Yu-ming: Monotonicity and convexity involving generalized elliptic integral of the first kind. 115(2) (2021), Article No. 46.

14.赵铁洪, Castillo, Oscar, Jahanshahi, Hadi, Yusuf, Abdullahi; Alassafi, Madini O., Alsaadi, Fawaz E., Chu,Yu-ming: A Fuzzy-based strategy to suppress the novel coronavirus (2019-nCov) massive outbreak. Appl. Comput. Math. 20(1) (2021), 160-176.

15.赵铁洪, He Zai-yin, Chu Yu-ming: Sharp bounds for the weigehted Hölder mean of the zero-balanced generalized complete elliptic integrals. Comput. Meth. Func. Theory. 21(3) (2021), 413-426.

16.Chu Hong-hu, 赵铁洪, Chu Yu-ming: Sharp bounds for the Toader mean of order 3 in terms of arithmetic, quatratic and contra-harmonic means. Math. Solvaca, 70(5) (2020), 1097-1112.

17.Li Yan-lin, Wang Zhi-gang, 赵铁洪: Slant helix of order n and sequence of Darboux developables of principal-directional curves. Math. Meth. Appl. Sci., 43(17) (2020), 9888-9903.

18.Hai Guo-jing(学生), 赵铁洪: Monotonicity properties and bounds involving the two-parameter generalized Grötzsch ring function. J. Inequal. Appl. 2020(1) (2020), Article No. 66.

19.赵铁洪, Shi Lei, Chu Yu-Ming: Convexity and concavity of the modified Bessel functions of the first kind with respect to Holder means. Rev. R. Acad. Cienc. Exactas. Fís. Nat. Ser. A Mat. 114(2) (2020), Article No. 96.

20.赵铁洪, Wang Miao-kun, Chu Yu-ming: A sharp double inequality involving generalized complete elliptic integral of the first kind. AIMS Math. 5(5) (2020), 4512-4528.

21.赵铁洪, He Zai-yin, Chu Yu-ming: On some refinements for inequalities involving zero-balanced hypergeometric function. AIMS Math. 5(6) (2020), 6479-6495.

22.Liu Jia-jia(学生), Hu Yan-Bo, 赵铁洪: On a degenerate boundary value problem to the two-dimensional self-similar nonlinear wave system. Bound. Value Probl. 2019 (2019), Article No. 1.

23.赵铁洪, Zhou Bu-chuan, Wang Miao-kun, Chu Yu-ming: On approximating the quasi-arithmetic mean. J. Inequal. Appl. 2019 (2019), Article No. 42.

24.赵铁洪, Wang Miao-kun, Zhang Wen, Chu Yu-ming: Quadratic trasformation inequalities for Gaussian hypergeometric function. J. Inequal. Appl. 2018 (2018), Article No. 251.

25.赵铁洪, Chu Yu-ming, Zhang Wen: Optimal inequalities for bounding Toader mean by arithmetic and quadratic means. J. Inequal. Appl. 2017 (2017), Article No. 26.

26.Yang Shi-hai, 赵铁洪: Conjugacy class and discreteness in SL(2,C). Oaska J. Math. 53(4) (2016), 1047-1053.

27.Chu Yu-ming, 赵铁洪：Concavity of the error function with respect to Hölder means. Math. Inequal. Appl. 19(2) (2016), 589-595.

28.赵铁洪, Yang Zhen-hang, Chu Yu-ming: Monotonicity properties of a function involving the psi function with applications. J. Inequal. Appl. 2015 (2015), Acticle No. 193.

29.Yang Shi-hai, 赵铁洪: Test maps and Dicrete groups in SL(2,C) II. Glasgow Math. J. 56(1) (2014), 53-56.

30.赵铁洪: Generators for the Euclidean Picard modular groups. Trans. Amer. Math. Soc. 364(6) (2012), 3241-3263.

31.赵铁洪: New construction of fundamental domains for certain Mostow groups. Pacific J Math. 259(1) (2012), 209-256.

32.赵铁洪: A minimal volume arithmetic cusped complex hyperbolic orbifold. Math Proc Camb Phil Soc. 150(2) (2011), 313-342.