Yik‐Man Chiang

984 total citations · 1 hit paper
27 papers, 626 citations indexed

About

Yik‐Man Chiang is a scholar working on Applied Mathematics, Geometry and Topology and Numerical Analysis. According to data from OpenAlex, Yik‐Man Chiang has authored 27 papers receiving a total of 626 indexed citations (citations by other indexed papers that have themselves been cited), including 23 papers in Applied Mathematics, 16 papers in Geometry and Topology and 6 papers in Numerical Analysis. Recurrent topics in Yik‐Man Chiang's work include Meromorphic and Entire Functions (22 papers), Advanced Differential Equations and Dynamical Systems (14 papers) and Differential Equations and Numerical Methods (5 papers). Yik‐Man Chiang is often cited by papers focused on Meromorphic and Entire Functions (22 papers), Advanced Differential Equations and Dynamical Systems (14 papers) and Differential Equations and Numerical Methods (5 papers). Yik‐Man Chiang collaborates with scholars based in Hong Kong, United Kingdom and China. Yik‐Man Chiang's co-authors include Shaoji Feng, W. K. Hayman, Shupei Wang, Rod Halburd, Ilpo Laine, S. N. M. Ruijsenaars, Mourad E. H. Ismail, Xu‐Dan Luo, Guo‐Fu Yu and Avery Ching and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Transactions of the American Mathematical Society and Advances in Mathematics.

In The Last Decade

Yik‐Man Chiang

25 papers receiving 565 citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

On the Nevanlinna characteristic of f(z+η) and difference equations in the complex plane

2008 432 citations Yik‐Man Chiang, Shaoji Feng profile →

Peers

Yik‐Man Chiang

AM

GT

NA

SPS

ANT

Lianzhong Yang China

Kazuya Tohge Japan

Zong-Xuan Chen China

Katsuya Ishizaki Japan

Janne Heittokangas Finland

Kwang Ho Shon South Korea

Indrajit Lahiri India

Jilong Zhang China

Ye-Fang Qiu China

Katsutoshi Yamanoi Japan

Lianzhong Yang China

Yik‐Man Chiang

617 ×1.0

AM

425 ×0.9

GT

22 ×0.7

NA

7 ×0.3

SPS

23 ×1.1

ANT

Citations per year, relative to Yik‐Man Chiang Yik‐Man Chiang (= 1×) peers Lianzhong Yang

Countries citing papers authored by Yik‐Man Chiang

Since Specialization

Citations

This map shows the geographic impact of Yik‐Man Chiang's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Yik‐Man Chiang with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Yik‐Man Chiang more than expected).

Fields of papers citing papers by Yik‐Man Chiang

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Yik‐Man Chiang. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Yik‐Man Chiang. The network helps show where Yik‐Man Chiang may publish in the future.

Co-authorship network of co-authors of Yik‐Man Chiang

This figure shows the co-authorship network connecting the top 25 collaborators of Yik‐Man Chiang. A scholar is included among the top collaborators of Yik‐Man Chiang based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Yik‐Man Chiang. Yik‐Man Chiang is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

1.

Chiang, Yik‐Man & Guo‐Fu Yu. (2019). Galoisian approach to complex oscillation theory of some Hill equations. MATHEMATICA SCANDINAVICA. 124(1). 102–131. 1 indexed citations

2.

Chiang, Yik‐Man & Shaoji Feng. (2018). Nevanlinna theory of the Askey–Wilson divided difference operator. Advances in Mathematics. 329. 217–272. 11 indexed citations

3.

Chiang, Yik‐Man & Xu‐Dan Luo. (2017). Difference Nevanlinna theories with vanishing and infinite periods. The Michigan Mathematical Journal. 66(3). 2 indexed citations

4.

Chiang, Yik‐Man & Shaoji Feng. (2016). On the Growth of Logarithmic Difference of Meromorphic Functions and a Wiman–Valiron Estimate. Constructive Approximation. 44(3). 313–326. 5 indexed citations

5.

Chiang, Yik‐Man, et al.. (2015). Symmetries of the Darboux equation. 15.

6.

Chiang, Yik‐Man, et al.. (2012). On complex oscillation, function-theoretic quantization of non-homogeneous periodic ordinary differential equations and special functions. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 142(3). 449–477. 1 indexed citations

7.

Chiang, Yik‐Man & Shaoji Feng. (2009). On the growth of logarithmic differences, difference quotients and logarithmic derivatives of meromorphic functions. Transactions of the American Mathematical Society. 361(7). 3767–3791. 69 indexed citations

8.

Chiang, Yik‐Man & S. N. M. Ruijsenaars. (2006). On the Nevanlinna Order of Meromorphic Solutions to Linear Analytic Difference Equations. Studies in Applied Mathematics. 116(3). 257–287. 10 indexed citations

9.

Chiang, Yik‐Man & W. K. Hayman. (2004). Estimates on the growth of meromorphic solutions of linear differential equations. Commentarii Mathematici Helvetici. 79(3). 451–470. 17 indexed citations

10.

Chiang, Yik‐Man, et al.. (2002). On a problem in complex oscillation theory of periodic second order linear differential equations and some related perturbation results. Annales Academiae Scientiarum Fennicae Mathematica. 27(2). 273–290. 12 indexed citations

11.

Chiang, Yik‐Man & Ilpo Laine. (1998). Some oscillation results for linear differential equations in the complex plane. Japanese journal of mathematics. 24(2). 267. 1 indexed citations

12.

Chiang, Yik‐Man & Ilpo Laine. (1998). Some oscillation results for linear differential equations in the complex plane. Japanese journal of mathematics. 24(2). 367–402. 2 indexed citations

13.

Chiang, Yik‐Man & Shupei Wang. (1997). Oscillation Results of Certain Higher Order Linear Differential Equations with Periodic Coefficients in the Complex Plane. Journal of Mathematical Analysis and Applications. 215(2). 560–576. 12 indexed citations

14.

Chiang, Yik‐Man, Ilpo Laine, & Shupei Wang. (1997). An oscillation result of a third order linear differential equation with entire periodic coefficients. Complex Variables Theory and Application An International Journal. 34(1-2). 25–34. 5 indexed citations

15.

Chiang, Yik‐Man. (1995). On the complex oscillation of y′′ + (ez − K)y = 0 and a result of Bank. Rare & Special e-Zone (The Hong Kong University of Science and Technology). 1 indexed citations

16.

Chiang, Yik‐Man. (1995). On the Complex Oscillation of y″ + (e^z — K)y = 0 and a Result of Bank, Laine and Langley. 125–134. 1 indexed citations

17.

Chiang, Yik‐Man. (1995). Oscillation results on y″ + Ay = 0 in the complex domain with transcendental entire coefficients which have extremal deficiencies. Proceedings of the Edinburgh Mathematical Society. 38(1). 13–34. 5 indexed citations

18.

Chiang, Yik‐Man, et al.. (1995). Oscillation Results for Some Linear Differential Equations.. MATHEMATICA SCANDINAVICA. 77. 209–209. 4 indexed citations

19.

Chiang, Yik‐Man. (1994). Properties of analytic functions with small schwarzian derivative. Complex Variables Theory and Application An International Journal. 25(2). 107–118. 2 indexed citations

20.

Chiang, Yik‐Man. (1991). On a subclass of strongly gamma-starlike functions and quasiconformal extensions. Rare & Special e-Zone (The Hong Kong University of Science and Technology). 1 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact