研究成果

2017年毕业于中国科学技术大学, 理学博士. 主要从事多复变函数论与Clifford分析研究, 近年来关注于超复分析中经典函数理论的统一问题. 以第一作者在中国科学、TAMS、Izv. Math. 、AMPA、JGA、Proc. Roy. Soc. Edinburgh Sect. A等发表学术论文20余篇：

[1] Zhenghua Xu, Irene Sabadini, Generalized partial-slice monogenic functions: the octonionic case, Trans. Amer. Math. Soc. https://doi.org/10.1090/tran/9646, online.

[2] Zhenghua Xu, Irene Sabadini, Segal-Bargmann transform for generalized partial-slice

monogenic functions, Izv. Math. https://doi.org/10.4213/im9671e, online.

[3] Zhenghua Xu, Irene Sabadini, Generalized partial-slice monogenic functions, Trans. Amer. Math. Soc. 378 (2025), no. 2, 851–883.

[4] Zhenghua Xu, Irene Sabadini, On the Fueter-Sce theorem for generalized partial-slice monogenic functions, Ann. Mat. Pura Appl. (4) 204 (2025), no. 2, 835–857.

[5] Chao Ding, Zhenghua Xu, Invariance of iterated global differential operator for slice monogenic functions, Comput. Methods Funct. Theory 25 (2025), no. 3, 735–752.

[6] Zhenghua Xu, Ting Yu, Qinghai Huo, Schwarz lemma for harmonic functions in the unit ball, Proc. Edinb. Math. Soc. (2) 68 (2025), no. 2, 616–633.

[7] Zhenghua Xu, Irene Sabadini, Generalized partial-slice monogenic functions: a synthesis of two function theories, Adv. Appl. Clifford Algebr. 34 (2024), no. 2, Paper No. 10, 14 pp.

[8] Zhenghua Xu, Die Zhang, Yuan Liu, Jiajia Si, Slice spirallike functions over quaternions, Complex Anal. Oper. Theory 17 (2023), no. 7, Paper No. 113, 17 pp.

[9] Zhenghua Xu, Another look at the Landau theorem, Ann. Fenn. Math. 46 (2021), no. 1, 581–585.

[10] Zhenghua Xu, Generalized Bohr radius for slice regular functions over quaternions, Ann. Mat. Pura Appl. (4) 200 (2021), no. 3, 1217–1229.

[11] Zhenghua Xu, Bohr theorems for slice regular functions over octonions, Proc. Roy. Soc. Edinburgh Sect. A 151 (2021), no. 5, 1595–1610.

[12] 徐正华, 王尔敏, 四元数空间中的正则逆紧映射, 中国科学:数学, 51 (2021), no. 12 , 1975-1982.

[13] Zhenghua Xu, Guangbin Ren,  Sharper uncertainty principles in quaternionic Hilbert spaces, Math. Methods Appl. Sci. 43 (2020), no. 4, 1608–1630.

[14] Zhenghua Xu, The Bernstein inequality for slice regular polynomials, Complex Anal. Oper. Theory 13 (2019), no. 6, 2575–2587.

[15] Zhenghua Xu, Bloch type spaces on the unit ball of a Hilbert space, Czechoslovak Math. J. 69(144) (2019), no. 3, 695–711.

[16] Zhenghua Xu, Guangbin Ren, Slice starlike functions over quaternions, J. Geom. Anal. 28 (2018), no. 4, 3775–3806.

[17] Zhenghua Xu, On the Lu Qi-Keng problem for slice monogenic functions,Bull. Korean Math. Soc. 55 (2018), no. 5, 1483–1490.

[18] Zhenghua Xu, A Schwarz-Pick lemma for the norms of holomorphic mappings in Banach spaces, Complex Var. Elliptic Equ. 63 (2018), no. 10, 1459–1467.

[19] Zhenghua Xu, Schwarz lemma for pluriharmonic functions, Indag. Math. 27 (2016), no. 4, 923–929.

[20] Zhenghua Xu, Guangbin Ren, Slice Lebesgue measure of quaternions. Adv. Appl. Clifford Algebr. 26 (2016), no. 1, 399–416.

[21] Zhenghua Xu, Guangbin Ren, Schwarz's lemma for slice Clifford analysis. Adv. Appl. Clifford Algebr. 25 (2015), no. 4, 965–976.

[22] 任广斌, 王谢平, 徐正华, Slice正则函数理论, 中国科学:数学, 45 (2015), no. 11, 1779-1790.