Stefan Hilger

2.6k total citations · 1 hit paper
23 papers, 1.8k citations indexed

About

Stefan Hilger is a scholar working on Applied Mathematics, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, Stefan Hilger has authored 23 papers receiving a total of 1.8k indexed citations (citations by other indexed papers that have themselves been cited), including 10 papers in Applied Mathematics, 6 papers in Mathematical Physics and 6 papers in Algebra and Number Theory. Recurrent topics in Stefan Hilger's work include Nonlinear Differential Equations Analysis (6 papers), Advanced Topics in Algebra (6 papers) and Corporate Finance and Governance (4 papers). Stefan Hilger is often cited by papers focused on Nonlinear Differential Equations Analysis (6 papers), Advanced Topics in Algebra (6 papers) and Corporate Finance and Governance (4 papers). Stefan Hilger collaborates with scholars based in Germany, United States and Poland. Stefan Hilger's co-authors include Ondřej Došlý, Ansgar Richter, Christian Weiß, Barnabás M. Garay, Lynn Erbe, Allan Peterson, Paul W. Eloe, Samir H. Saker, Quan Z. Sheng and Taher S. Hassan and has published in prestigious journals such as The Leadership Quarterly, Journal of Computational and Applied Mathematics and Journal of Functional Analysis.

In The Last Decade

Stefan Hilger

21 papers receiving 1.6k citations

Hit Papers

Analysis on Measure Chains — A Unified Approach to Contin... 1990 2026 2002 2014 1990 400 800 1.2k
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.

  1. Analysis on Measure Chains — A Unified Approach to Continuous and Discrete Calculus
    1990 1.5k citations Stefan Hilger Results in Mathematics profile →

Peers

Stefan Hilger
Toka Diagana United States
Frank Neubrander United States
Charles Castaing France
Gaston M. N’Guérékata United States
Józef Banaś Poland
Alexandra Rodkina Jamaica
Bipan Hazarika India
Zhen-Qing Chen United States
Diogo A. Gomes Saudi Arabia
Renming Song United States
Toka Diagana United States
Stefan Hilger
Citations per year, relative to Stefan Hilger Stefan Hilger (= 1×) peers Toka Diagana

Countries citing papers authored by Stefan Hilger

Since Specialization
Citations

This map shows the geographic impact of Stefan Hilger'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 Stefan Hilger with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Stefan Hilger more than expected).

Fields of papers citing papers by Stefan Hilger

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Stefan Hilger. 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 Stefan Hilger. The network helps show where Stefan Hilger may publish in the future.

Co-authorship network of co-authors of Stefan Hilger

This figure shows the co-authorship network connecting the top 25 collaborators of Stefan Hilger. A scholar is included among the top collaborators of Stefan Hilger 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 Stefan Hilger. Stefan Hilger is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Pinelas, Sandra, John R. Graef, Stefan Hilger, Peter E. Kloeden, & C.J. Schinas. (2020). Differential and Difference Equations with Applications. Springer proceedings in mathematics & statistics. 3 indexed citations
2.
Filipuk, Galina & Stefan Hilger. (2015). Algebra embedding of U(sl(2)) into the tensor product of two (q,h)-Weyl algebras. Journal of Pure and Applied Algebra. 220(5). 2049–2063.
3.
Hilger, Stefan, et al.. (2014). On the (q; h)-discretization of ladder operators. 9(1). 67–76.
4.
Hilger, Stefan & Galina Filipuk. (2014). Factorization of (q, h)-difference operators – an algebraic approach. The Journal of Difference Equations and Applications. 20(8). 1201–1221. 4 indexed citations
5.
Hilger, Stefan, Ansgar Richter, & Utz Schäffer. (2013). Hanging Together, Together Hung? Career Implications of Interpersonal Ties Between CEOs and Top Managers. View. 6(1). 8–32. 10 indexed citations
6.
Filipuk, Galina & Stefan Hilger. (2012). Linear Graininess Time Scales and Ladder Operators of Orthogonal Polynomials. Results in Mathematics. 64(1-2). 13–35. 2 indexed citations
7.
Hilger, Stefan, et al.. (2012). The use and effectiveness of top executive dismissal. The Leadership Quarterly. 24(1). 9–28. 42 indexed citations
8.
Hilger, Stefan. (2010). The Category of Ladders. Results in Mathematics. 57(3-4). 335–364. 6 indexed citations
9.
Erbe, Lynn, Taher S. Hassan, Allan Peterson, Samir H. Saker, & Stefan Hilger. (2009). Oscillation Criteria for Sublinear Half-Linear Delay Dynamic Equations. 19 indexed citations
10.
Hilger, Stefan, et al.. (2009). Convergence of time scales under the Fell topology. The Journal of Difference Equations and Applications. 15(10). 1011–1020. 4 indexed citations
11.
Eloe, Paul W., Stefan Hilger, & Quan Z. Sheng. (2006). A Qualitative Analysis on Nonconstant Graininess of the Adaptive Grids via Time Scales. Rocky Mountain Journal of Mathematics. 36(1). 11 indexed citations
12.
Došlý, Ondřej & Stefan Hilger. (2002). A necessary and sufficient condition for oscillation of the Sturm–Liouville dynamic equation on time scales. Journal of Computational and Applied Mathematics. 141(1-2). 147–158. 72 indexed citations
13.
Hilger, Stefan. (2002). Matrix Lie theory and measure chains. Journal of Computational and Applied Mathematics. 141(1-2). 197–217. 8 indexed citations
14.
Hilger, Stefan. (2002). An Application of Calculus on Measure Chains to Fourier Theory and Heisenberg's Uncertainty Principle. The Journal of Difference Equations and Applications. 8(10). 897–936. 5 indexed citations
15.
Garay, Barnabás M. & Stefan Hilger. (2001). Embeddability of time scale dynamics in ode dynamics. Nonlinear Analysis. 47(2). 1357–1371. 9 indexed citations
16.
Hilger, Stefan. (1997). Differential and difference calculus — Unified!. Nonlinear Analysis. 30(5). 2683–2694. 92 indexed citations
17.
Hilger, Stefan. (1996). Generalized theorem of Hartman-Grobman on measure chains. Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics. 60(2). 157–191. 19 indexed citations
18.
Hilger, Stefan. (1992). Smoothness of invariant manifolds. Journal of Functional Analysis. 106(1). 95–129. 15 indexed citations
19.
Hilger, Stefan. (1990). Analysis on Measure Chains — A Unified Approach to Continuous and Discrete Calculus. Results in Mathematics. 18(1-2). 18–56. 1495 indexed citations breakdown →
20.
Hilger, Stefan, et al.. (1989). Speech synthesis by acoustic control. 2020–2022. 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.

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