Mark Davidson

987 total citations
26 papers, 408 citations indexed

About

Mark Davidson is a scholar working on Mathematical Physics, Algebra and Number Theory and Pulmonary and Respiratory Medicine. According to data from OpenAlex, Mark Davidson has authored 26 papers receiving a total of 408 indexed citations (citations by other indexed papers that have themselves been cited), including 6 papers in Mathematical Physics, 6 papers in Algebra and Number Theory and 5 papers in Pulmonary and Respiratory Medicine. Recurrent topics in Mark Davidson's work include Advanced Algebra and Geometry (6 papers), Advanced Topics in Algebra (6 papers) and Matrix Theory and Algorithms (4 papers). Mark Davidson is often cited by papers focused on Advanced Algebra and Geometry (6 papers), Advanced Topics in Algebra (6 papers) and Matrix Theory and Algorithms (4 papers). Mark Davidson collaborates with scholars based in United Kingdom, United States and Netherlands. Mark Davidson's co-authors include Gestur Ólafsson, David Young, Thomas J. Enright, Linda M. Moxey, William A. Adkins, Graham Bell, J. Coutts, Hani A. Alfheeaid, Konstantinos Gerasimidis and Dirk Vlasselaers and has published in prestigious journals such as Archives of Disease in Childhood, Journal of Computational and Applied Mathematics and Journal of Functional Analysis.

In The Last Decade

Mark Davidson

25 papers receiving 367 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Mark Davidson United Kingdom	13	91	82	74	59	52	26	408
Hendrik de Vries Netherlands	5	31 0.3×	22 0.3×	54 0.7×	58 1.0×	4 0.1×	7	512
Kenneth Williams United States	10	88 1.0×	5 0.1×	10 0.1×	32 0.5×	6 0.1×	34	470
Michael C. Sullivan United States	11	52 0.6×	31 0.4×	109 1.5×	84 1.4×	2 0.0×	36	438
Eric Tousset Belgium	14	34 0.4×	8 0.1×	24 0.3×	17 0.3×	69 1.3×	25	549
A. N. Thomas United Kingdom	9	46 0.5×	83 1.0×	12 0.2×	2 0.0×	4 0.1×	18	308
Kenneth E. Appel United States	7	6 0.1×	863 10.5×	10 0.1×	29 0.5×	16 0.3×	30	1.5k
Michael J. Cowen United States	7	36 0.4×	8 0.1×	137 1.9×	88 1.5×	462 8.9×	16	784
Anna Greta Barbe Germany	13	2 0.0×	39 0.5×	40 0.5×	4 0.1×	7 0.1×	75	631
Michael J. Lynch United States	14	166 1.8×	49 0.6×		2 0.0×	33 0.6×	42	819
Jonathan P. Palma United States	11	54 0.6×	140 1.7×			108 2.1×	33	433

Countries citing papers authored by Mark Davidson

Since Specialization

Citations

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

Fields of papers citing papers by Mark Davidson

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Mark Davidson

This figure shows the co-authorship network connecting the top 25 collaborators of Mark Davidson. A scholar is included among the top collaborators of Mark Davidson 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 Mark Davidson. Mark Davidson 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

Donnelly, Peter, et al.. (2020). Well-Being During Coronavirus Disease 2019: A PICU Practical Perspective. Pediatric Critical Care Medicine. 21(8). e584–e586. 13 indexed citations

Khorsandi, Maziar, Mark Davidson, Omar Bouamra, et al.. (2018). Extracorporeal membrane oxygenation in pediatric cardiac surgery: A retrospective review of trends and outcomes in Scotland. Annals of Pediatric Cardiology. 11(1). 3–3. 12 indexed citations

Lorusso, Roberto, Mirko Belliato, Thijs Delnoij, et al.. (2017). Brain monitoring in adult and pediatric ECMO patients: the importance of early and late assessments. Minerva Anestesiologica. 83(10). 1061–1074. 30 indexed citations

Alfheeaid, Hani A., et al.. (2014). An evaluation of enteral nutrition practices and nutritional provision in children during the entire length of stay in critical care. BMC Pediatrics. 14(1). 186–186. 9 indexed citations

Alfheeaid, Hani A., et al.. (2014). Delivery of Enteral Nutrition after the Introduction of Practice Guidelines and Participation of Dietitians in Pediatric Critical Care Clinical Teams. Journal of the Academy of Nutrition and Dietetics. 114(12). 1974–1980.e3. 16 indexed citations

Adkins, William A. & Mark Davidson. (2012). Ordinary Differential Equations. Undergraduate texts in mathematics. 20 indexed citations

Moxey, Linda M., et al.. (2011). Strengthening handover communication in pediatric cardiac intensive care. Pediatric Anesthesia. 22(4). 393–399. 64 indexed citations

Adkins, William A. & Mark Davidson. (2010). Putzer's Algorithm for e ^At via the Laplace Transform. Mathematics Magazine. 83(4). 267–275. 2 indexed citations

Davidson, Mark, et al.. (2009). Paediatric resuscitation and the new Scottish mobile skills unit: a marriage made in virtual heaven. Scottish Medical Journal. 54(2). 53–53. 1 indexed citations

10.

Davidson, Mark, J. Coutts, & Graham Bell. (2008). Flexible bronchoscopy in pediatric intensive care. Pediatric Pulmonology. 43(12). 1188–1192. 20 indexed citations

11.

Davidson, Mark, et al.. (2006). Laguerre functions on symmetric cones and recursion relations in the real case. Journal of Computational and Applied Mathematics. 199(1). 95–112. 2 indexed citations

12.

Davidson, Mark & Gestur Ólafsson. (2004). The Generalized Segal–Bargmann Transform and Special Functions. Acta Applicandae Mathematicae. 81(1). 29–50. 5 indexed citations

13.

Adkins, William A. & Mark Davidson. (2003). The Cayley–Hamilton and Frobenius theorems via the Laplace transform. Linear Algebra and its Applications. 371. 147–152. 3 indexed citations

14.

Davidson, Mark, et al.. (2003). Laplace and Segal–Bargmann transforms on Hermitian symmetric spaces and orthogonal polynomials. Journal of Functional Analysis. 204(1). 157–195. 22 indexed citations

15.

Mutch, Lesley, et al.. (1992). The Scottish low birthweight study: II. Language attainment, cognitive status, and behavioural problems.. Archives of Disease in Childhood. 67(6). 682–686. 56 indexed citations

16.

Davidson, Mark. (1992). Thiamin deficiency in a colony of cats. Veterinary Record. 130(5). 94–97. 27 indexed citations

17.

Davidson, Mark, et al.. (1990). Covariant differential operators. Mathematische Annalen. 288(1). 731–739. 2 indexed citations

18.

Davidson, Mark, et al.. (1988). Gradient-type differential operators and unitary highest weight representations of SU(p, q). Journal of Functional Analysis. 81(1). 100–125. 3 indexed citations

19.

Davidson, Mark. (1987). The harmonic representation ofU(p,q) and its connection with the generalized unit disk. Pacific Journal of Mathematics. 129(1). 33–55. 7 indexed citations

20.

Davidson, Mark. (1983). Uncommon sense : the life and thought of Ludwig von Bertalanffy (1901-1972), father of general systems theory. Medical Entomology and Zoology. 34 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