Horst Alzer

3.9k total citations · 1 hit paper
214 papers, 2.7k citations indexed

About

Horst Alzer is a scholar working on Applied Mathematics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Horst Alzer has authored 214 papers receiving a total of 2.7k indexed citations (citations by other indexed papers that have themselves been cited), including 175 papers in Applied Mathematics, 86 papers in Geometry and Topology and 53 papers in Algebra and Number Theory. Recurrent topics in Horst Alzer's work include Mathematical Inequalities and Applications (139 papers), Mathematical functions and polynomials (90 papers) and Functional Equations Stability Results (86 papers). Horst Alzer is often cited by papers focused on Mathematical Inequalities and Applications (139 papers), Mathematical functions and polynomials (90 papers) and Functional Equations Stability Results (86 papers). Horst Alzer collaborates with scholars based in Germany, Hong Kong and United States. Horst Alzer's co-authors include Song-Liang Qiu, Stamatis Koumandos, Christian Berg, Kendall C. Richards, Arcadii Z. Grinshpan, J. L. Brenner, Man Kam Kwong, Necdet Batır, Stephan Ruscheweyh and J. H. Wells and has published in prestigious journals such as SHILAP Revista de lepidopterología, Mathematics of Computation and Journal of Mathematical Analysis and Applications.

In The Last Decade

Horst Alzer

189 papers receiving 2.1k citations

Hit Papers

On some inequalities for the gamma and psi functions 1997 2026 2006 2016 1997 100 200 300
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. On some inequalities for the gamma and psi functions
    1997 302 citations Horst Alzer Mathematics of Computation profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Horst Alzer Germany 26 2.2k 779 458 199 158 214 2.7k
Árpád Baricz Romania 24 1.4k 0.6× 878 1.1× 160 0.3× 147 0.7× 63 0.4× 99 1.9k
Sheldon Axler United States 19 1.3k 0.6× 412 0.5× 277 0.6× 60 0.3× 201 1.3× 52 1.9k
Tamás Erdélyi United States 17 1.1k 0.5× 453 0.6× 246 0.5× 49 0.2× 313 2.0× 116 1.6k
Dae San Kim South Korea 27 1.7k 0.8× 244 0.3× 3.0k 6.5× 114 0.6× 146 0.9× 405 3.7k
Keith Ball United Kingdom 22 953 0.4× 382 0.5× 108 0.2× 90 0.5× 284 1.8× 38 1.5k
T. Andô Japan 21 1.0k 0.5× 309 0.4× 261 0.6× 192 1.0× 974 6.2× 44 1.8k
Marek Kuczma Poland 14 1.3k 0.6× 504 0.6× 181 0.4× 43 0.2× 350 2.2× 100 2.1k
Nicole Tomczak-Jaegermann Canada 21 1.1k 0.5× 245 0.3× 132 0.3× 60 0.3× 219 1.4× 90 1.8k
Peter Rosenthal Canada 18 829 0.4× 192 0.2× 672 1.5× 77 0.4× 513 3.2× 110 1.6k
Olav Njåstad Norway 21 1.3k 0.6× 361 0.5× 254 0.6× 30 0.2× 982 6.2× 110 2.3k

Countries citing papers authored by Horst Alzer

Since Specialization
Citations

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

Fields of papers citing papers by Horst Alzer

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Horst Alzer

This figure shows the co-authorship network connecting the top 25 collaborators of Horst Alzer. A scholar is included among the top collaborators of Horst Alzer 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 Horst Alzer. Horst Alzer 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.
Alzer, Horst. (2020). Remarks on a Convexity Theorem of Raşa. Results in Mathematics. 75(1). 4 indexed citations
2.
Alzer, Horst. (2019). On Engel's Inequality for Bell Numbers.. 22. 1 indexed citations
3.
Alzer, Horst & Man Kam Kwong. (2015). On the concavity of Dirichlet's eta function and related functional inequalities. Journal of Number Theory. 151. 172–196. 10 indexed citations
4.
Alzer, Horst & Robin Chapman. (2014). On boole's formula for factorials. Open Research Exeter (University of Exeter). 59. 333–336. 1 indexed citations
5.
Alzer, Horst, et al.. (2012). On trigonometric sums in two variables. 4(2). 157–170. 1 indexed citations
6.
Alzer, Horst. (2009). A Series with Harmonic Numbers: 11302.. American Mathematical Monthly. 116. 86–87. 2 indexed citations
7.
Adell, José A. & Horst Alzer. (2009). Inequalities for the median of the gamma distribution. Journal of Computational and Applied Mathematics. 232(2). 481–495. 4 indexed citations
8.
Alzer, Horst, et al.. (2006). On Turán's inequality for Legendre polynomials. Expositiones Mathematicae. 25(2). 181–186. 16 indexed citations
9.
Alzer, Horst, et al.. (2005). Series representations for some mathematical constants. Journal of Mathematical Analysis and Applications. 320(1). 145–162. 45 indexed citations
10.
Alzer, Horst & Bent Fuglede. (2005). Normalized binomial mid-coefficients and power means. Journal of Number Theory. 115(2). 284–294. 4 indexed citations
11.
Alzer, Horst. (2002). Inequalities for the constants of Landau and Lebesgue. Journal of Computational and Applied Mathematics. 139(2). 215–230. 21 indexed citations
12.
Alzer, Horst. (1999). On the Cauchy-Schwarz Inequality. Journal of Mathematical Analysis and Applications. 234(1). 6–14. 18 indexed citations
13.
Alzer, Horst. (1996). On Ky Fan's Inequality and Its Additive Analogue. Journal of Mathematical Analysis and Applications. 204(1). 291–297. 4 indexed citations
14.
Alzer, Horst. (1995). An Improvement of the Constants in a Reverse Integral Inequality. Journal of Mathematical Analysis and Applications. 190(3). 774–779. 5 indexed citations
15.
Alzer, Horst. (1995). On the Zeroes of a Polynomial. Journal of Approximation Theory. 81(3). 421–424. 2 indexed citations
16.
Alzer, Horst. (1993). Some Gamma Function Inequalities. Mathematics of Computation. 60(201). 337–337. 17 indexed citations
17.
Alzer, Horst. (1993). An inequality for arithmetic and harmonic means.. Aequationes Mathematicae. 46(3). 257–263. 8 indexed citations
18.
Alzer, Horst, et al.. (1993). Inequalities for the Tails of Some Elementary Series. Journal of Mathematical Analysis and Applications. 179(2). 500–506. 7 indexed citations
19.
Alzer, Horst. (1992). A refinement of the Cauchy-Schwarz inequality. Journal of Mathematical Analysis and Applications. 168(2). 596–604. 13 indexed citations
20.
Alzer, Horst. (1990). A converse of the arithmetic mean-geometric mean inequality. Revista de la Unión Matemática Argentina. 36. 146–151. 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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