K. S. Kölbig
Impact in
- Applied Mathematics top 0.5%
- Mathematical functions and polynomials
- Algebra and Number Theory top 2%
Papers in
-
- Mathematical functions and polynomials 21
- Algebraic and Geometric Analysis 4
- Functional Equations Stability Results 4
-
- Advanced Mathematical Identities 10
- Analytic Number Theory Research 6
- Co-authors
- I.M. RYZHIK (1 shared paper)Alan Jeffrey (1 shared paper)I. S. Gradshteyn (1 shared paper)A. P. Prudnikov (2 shared papers)B. Margolis (2 shared papers)Júlio A. Mignaco (1 shared paper)E. Remiddi (1 shared paper)B. Schorr (2 shared papers)
- Journals
- Mathematics of Computation (21 papers)Journal of Computational and Applied Mathematics (10 papers)Computer Physics Communications (8 papers)Communications of the ACM (5 papers)BIT Numerical Mathematics (2 papers)
- Partner nations
- SwitzerlandGermanyCanada
In The Last Decade
K. S. Kölbig
56 papers receiving 8.7k citations
K. S. Kölbig's Hit Papers
Peers
Comparison fields: 5 of 159
- Applied Mathematics 1.1k
- Algebra and Number Theory 435
- Statistical and Nonlinear Physics 1.1k
- Nuclear and High Energy Physics 1.0k
- Atomic and Molecular Physics, and Optics 2.3k
Countries citing papers authored by K. S. Kölbig
This map shows the geographic impact of K. S. Kölbig'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 K. S. Kölbig with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites K. S. Kölbig more than expected).
Fields of papers citing papers by K. S. Kölbig
This network shows the impact of papers produced by K. S. Kölbig. 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 K. S. Kölbig. The network helps show where K. S. Kölbig may publish in the future.
Co-authors
The 14 scholars most cited alongside K. S. Kölbig, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 57 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Table of Integrals, Series, and Products. Hit paper breakdown → | 1995 | 6443 |
| 2 | Errata: Milton Abramowitz and Irene A. Stegun, editors, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, National Bureau of Standards, Applied Mathematics Series, No. 55, U.S. Government Printing Office, Washington, D.C., 1994, and all known reprints Hit paper breakdown → | 1972 | 1688 |
| 3 | Integrals and Series of Special Functions. Hit paper breakdown → | 1985 | 495 |
| 4 | 1968 | 154 | |
| 5 | 1970 | 94 | |
| 6 | 1986 | 86 | |
| 7 | 1996 | 34 | |
| 8 | 1988 | 32 | |
| 9 | 1972 | 25 | |
| 10 | 1984 | 22 | |
| 11 | 1982 | 15 | |
| 12 | 1972 | 14 | |
| 13 | 1968 | 14 | |
| 14 | 1982 | 13 | |
| 15 | 1994 | 12 | |
| 16 | 1972 | 12 | |
| 17 | The polygamma function and the derivatives of the cotangent function for rational arguments | 1996 | 12 |
| 18 | 1981 | 12 | |
| 19 | 1983 | 11 | |
| 20 | 1970 | 9 |
About K. S. Kölbig
K. S. Kölbig is a scholar working on Applied Mathematics, Algebra and Number Theory, Computational Theory and Mathematics, Atomic and Molecular Physics, and Optics and Numerical Analysis, having authored 57 papers that have together received 9.3k indexed citations. Recurring topics across this work include Mathematical functions and polynomials (21 papers), Advanced Mathematical Identities (10 papers), Analytic Number Theory Research (6 papers), Numerical Methods and Algorithms (5 papers), Algebraic and Geometric Analysis (4 papers), Functional Equations Stability Results (4 papers), Fractional Differential Equations Solutions (4 papers) and Quantum Mechanics and Non-Hermitian Physics (3 papers). The work is most often cited by research in Applied Mathematics (1.1k citations), Algebra and Number Theory (435 citations), Statistical and Nonlinear Physics (1.1k citations), Nuclear and High Energy Physics (1.0k citations) and Atomic and Molecular Physics, and Optics (2.3k citations). K. S. Kölbig has collaborated with scholars based in Switzerland, Germany and Canada. Frequent co-authors include I.M. RYZHIK, Alan Jeffrey, I. S. Gradshteyn, A. P. Prudnikov, B. Margolis, Júlio A. Mignaco, E. Remiddi, B. Schorr, Hagen Scherb and Victor Adamchik. Their work appears in journals such as Mathematics of Computation, Journal of Computational and Applied Mathematics, Computer Physics Communications, Communications of the ACM and BIT Numerical Mathematics.
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.