Bertram Ross

10.0k total citations · 1 hit paper
21 papers, 7.6k citations indexed

About

Bertram Ross is a scholar working on Mathematical Physics, Applied Mathematics and Theoretical Computer Science. According to data from OpenAlex, Bertram Ross has authored 21 papers receiving a total of 7.6k indexed citations (citations by other indexed papers that have themselves been cited), including 6 papers in Mathematical Physics, 6 papers in Applied Mathematics and 3 papers in Theoretical Computer Science. Recurrent topics in Bertram Ross's work include Mathematical and Theoretical Analysis (5 papers), Mathematical functions and polynomials (4 papers) and Fractional Differential Equations Solutions (3 papers). Bertram Ross is often cited by papers focused on Mathematical and Theoretical Analysis (5 papers), Mathematical functions and polynomials (4 papers) and Fractional Differential Equations Solutions (3 papers). Bertram Ross collaborates with scholars based in United States and Russia. Bertram Ross's co-authors include Kenneth S. Miller, Stefan Samko, Hugh Munby, E. D. Rainville, D. S. Mitrinović, Frank Harary and James W. Brown and has published in prestigious journals such as Thrombosis and Haemostasis, American Mathematical Monthly and International Journal of Science Education.

In The Last Decade

Bertram Ross

20 papers receiving 7.0k citations

Hit Papers

An Introduction to the Fractional Calculus and Fractional... 1993 2026 2004 2015 1993 2.0k 4.0k 6.0k
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. An Introduction to the Fractional Calculus and Fractional Differential Equations
    1993 6.6k citations Kenneth S. Miller, Bertram Ross Medical Entomology and Zoology profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Bertram Ross United States 11 5.8k 2.8k 2.8k 1.7k 1.3k 21 7.6k
Neville J. Ford United Kingdom 30 6.5k 1.1× 4.0k 1.4× 2.3k 0.8× 1.7k 1.0× 1.0k 0.8× 91 7.9k
Rudolf Gorenflo Germany 36 5.4k 0.9× 2.7k 1.0× 2.5k 0.9× 1.3k 0.8× 500 0.4× 110 7.2k
Juan J. Trujillo Spain 43 7.1k 1.2× 3.1k 1.1× 5.3k 1.9× 1.1k 0.7× 1.6k 1.2× 143 8.8k
Anatoly A. Kilbas Belarus 28 4.9k 0.8× 2.4k 0.8× 4.2k 1.5× 741 0.4× 624 0.5× 97 6.7k
Mohsen Razzaghi United States 39 3.7k 0.6× 3.1k 1.1× 1.2k 0.4× 998 0.6× 1.0k 0.8× 255 5.7k
Changpin Li China 55 7.6k 1.3× 4.6k 1.6× 2.3k 0.8× 3.3k 2.0× 1.3k 1.0× 225 10.8k
Hossein Jafari Iran 46 6.6k 1.1× 4.1k 1.4× 2.1k 0.8× 2.6k 1.5× 554 0.4× 292 7.8k
Stefan Samko Portugal 30 5.7k 1.0× 2.8k 1.0× 5.9k 2.1× 1.4k 0.8× 975 0.7× 155 10.0k
Vasily E. Tarasov Russia 42 4.4k 0.8× 1.5k 0.5× 1.6k 0.6× 2.2k 1.3× 506 0.4× 202 6.4k
Kai Diethelm Germany 29 10.9k 1.9× 5.6k 2.0× 4.8k 1.7× 2.6k 1.6× 1.9k 1.4× 70 13.2k

Countries citing papers authored by Bertram Ross

Since Specialization
Citations

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

Fields of papers citing papers by Bertram Ross

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Bertram Ross

This figure shows the co-authorship network connecting the top 25 collaborators of Bertram Ross. A scholar is included among the top collaborators of Bertram Ross 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 Bertram Ross. Bertram Ross 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.
Miller, Kenneth S. & Bertram Ross. (1993). An Introduction to the Fractional Calculus and Fractional Differential Equations. Medical Entomology and Zoology. 6580 indexed citations breakdown →
2.
Ross, Bertram & Stefan Samko. (1993). Fractional integration operator of variable order in the holder spaces Hλ(x). International Journal of Mathematics and Mathematical Sciences. 18(4). 777–788. 86 indexed citations
3.
Ross, Bertram & Hugh Munby. (1991). Concept mapping and misconceptions: a study of high‐school students’ understandings of acids and bases. International Journal of Science Education. 13(1). 11–23. 139 indexed citations
4.
Ross, Bertram, et al.. (1990). The Solution of Certain Integral Equations by Means of Operators of Arbitary Order. American Mathematical Monthly. 97(6). 498–498. 10 indexed citations
5.
Ross, Bertram. (1989). High School Students' Concepts of Acids and Bases.. Thrombosis and Haemostasis. 92(2). 384–6. 5 indexed citations
6.
Ross, Bertram. (1989). The inversion of the tractrix. International Journal of Mathematical Education in Science and Technology. 20(4). 635–638. 1 indexed citations
7.
Ross, Bertram. (1987). Methods of summation. Medical Entomology and Zoology. 11 indexed citations
8.
Ross, Bertram. (1983). Serendipity in Mathematics or How one is Led to Discover that. American Mathematical Monthly. 90(8). 562–566. 6 indexed citations
9.
Ross, Bertram. (1983). Serendipity in Mathematics or How One is Led to Discover that ∑ ∞ n = 1 1⋅3⋅5⋯(2n - 1 n2 n n! = ½ + 3 16 + 15144 + ⋯ = ln4. American Mathematical Monthly. 90(8). 562–562. 3 indexed citations
10.
Ross, Bertram, et al.. (1982). Evaluation of Certain Real Integrals by Contour Integration. American Mathematical Monthly. 89(4). 246–249. 1 indexed citations
11.
Ross, Bertram. (1978). The Psi Function. Mathematics Magazine. 51(3). 176–179. 4 indexed citations
12.
Ross, Bertram. (1978). The Psi Function. Mathematics Magazine. 51(3). 176–176. 3 indexed citations
13.
Ross, Bertram. (1977). The development of fractional calculus 1695–1900. Historia Mathematica. 4(1). 75–89. 229 indexed citations
14.
Ross, Bertram. (1977). Fractional Calculus. Mathematics Magazine. 50(3). 115–115. 34 indexed citations
15.
Ross, Bertram. (1977). Fractional Calculus. Mathematics Magazine. 50(3). 115–122. 37 indexed citations
16.
Ross, Bertram, et al.. (1974). Advanced Problems: 5988-5993. American Mathematical Monthly. 81(8). 910–910. 4 indexed citations
17.
18.
Ross, Bertram, et al.. (1971). Solved problems in analysis as applied to gamma, beta, Legendre and Bessel functions. CERN Bulletin. 5 indexed citations
19.
Rainville, E. D., et al.. (1964). Solved Problems: Gamma and Beta Functions, Legendre Polynomials, Bessel Functions.. American Mathematical Monthly. 71(9). 1063–1063. 22 indexed citations
20.
Ross, Bertram, et al.. (1961). Classroom Notes. American Mathematical Monthly. 68(2). 149–170. 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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