Donald H. Trahan

2.3k total citations · 1 hit paper
10 papers, 1.5k citations indexed

About

Donald H. Trahan is a scholar working on Geometry and Topology, Statistical and Nonlinear Physics and Applied Mathematics. According to data from OpenAlex, Donald H. Trahan has authored 10 papers receiving a total of 1.5k indexed citations (citations by other indexed papers that have themselves been cited), including 2 papers in Geometry and Topology, 2 papers in Statistical and Nonlinear Physics and 2 papers in Applied Mathematics. Recurrent topics in Donald H. Trahan's work include Experimental and Theoretical Physics Studies (2 papers), Algebraic and Geometric Analysis (2 papers) and Analytic and geometric function theory (1 paper). Donald H. Trahan is often cited by papers focused on Experimental and Theoretical Physics Studies (2 papers), Algebraic and Geometric Analysis (2 papers) and Analytic and geometric function theory (1 paper). Donald H. Trahan collaborates with scholars based in United States and Belgium. Donald H. Trahan's co-authors include William E. Boyce and R. C. DiPrima and has published in prestigious journals such as American Mathematical Monthly, Mathematische Zeitschrift and Mathematics Magazine.

In The Last Decade

Donald H. Trahan

9 papers receiving 1.3k citations

Hit Papers

Elementary Differential Equations and Boundary Value Prob... 1979 2026 1994 2010 1979 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. Elementary Differential Equations and Boundary Value Problems.
    1979 1.4k citations Donald H. Trahan, William E. Boyce et al. American Mathematical Monthly profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Donald H. Trahan United States 4 152 143 142 134 125 10 1.5k
R. V. Churchill United States 6 124 0.8× 184 1.3× 106 0.7× 104 0.8× 170 1.4× 13 1.3k
Gustav Doetsch Germany 12 203 1.3× 152 1.1× 97 0.7× 177 1.3× 129 1.0× 18 1.5k
William E. Boyce United States 13 207 1.4× 237 1.7× 185 1.3× 184 1.4× 168 1.3× 48 2.0k
Stanley J. Farlow United States 7 185 1.2× 92 0.6× 111 0.8× 123 0.9× 107 0.9× 22 1.3k
Peter L. Balise United States 12 152 1.0× 154 1.1× 178 1.3× 131 1.0× 157 1.3× 29 1.8k
Ned Anderson United States 6 128 0.8× 123 0.9× 124 0.9× 226 1.7× 300 2.4× 11 1.5k
R. M. Redheffer United States 20 166 1.1× 118 0.8× 98 0.7× 147 1.1× 124 1.0× 103 1.7k
Donald B. Houghton United States 8 80 0.5× 106 0.7× 109 0.8× 131 1.0× 133 1.1× 12 1.3k
S. D. Conte United States 13 71 0.5× 113 0.8× 124 0.9× 254 1.9× 359 2.9× 26 2.4k
Herbert Maisel United States 6 153 1.0× 150 1.0× 134 0.9× 367 2.7× 301 2.4× 12 2.1k

Countries citing papers authored by Donald H. Trahan

Since Specialization
Citations

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

Fields of papers citing papers by Donald H. Trahan

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Donald H. Trahan. 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 Donald H. Trahan. The network helps show where Donald H. Trahan may publish in the future.

Co-authorship network of co-authors of Donald H. Trahan

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

All Works

10 of 10 papers shown
1.
Trahan, Donald H.. (1981). Regions of Convergence for a Generalized Lambert Series. Mathematics Magazine. 54(1). 28–28. 1 indexed citations
2.
Trahan, Donald H.. (1981). Regions of Convergence for a Generalized Lambert Series. Mathematics Magazine. 54(1). 28–32. 2 indexed citations
3.
Trahan, Donald H., William E. Boyce, & R. C. DiPrima. (1979). Elementary Differential Equations and Boundary Value Problems.. American Mathematical Monthly. 86(7). 599–599. 1430 indexed citations breakdown →
4.
Trahan, Donald H., et al.. (1970). Analytic functions whose real parts are bounded below. Mathematische Zeitschrift. 115(4). 252–258. 4 indexed citations
5.
Trahan, Donald H.. (1969). The Mixed Partial Derivatives and the Double Derivative. American Mathematical Monthly. 76(1). 76–77. 1 indexed citations
6.
Trahan, Donald H.. (1969). The Mixed Partial Derivatives and the Double Derivative. American Mathematical Monthly. 76(1). 76–76. 1 indexed citations
7.
Trahan, Donald H.. (1966). A New Type of Mean Value Theorem. Mathematics Magazine. 39(5). 264–264. 5 indexed citations
8.
Trahan, Donald H.. (1966). A New Type of Mean Value Theorem. Mathematics Magazine. 39(5). 264–268. 12 indexed citations
9.
Trahan, Donald H.. (1965). A New Approach to Integration for Functions of a Complex Variable. Mathematics Magazine. 38(3). 132–140.
10.
Trahan, Donald H.. (1963). Cyclic Dislocations in Determinants and a New Expansion of a Determinant. American Mathematical Monthly. 70(5). 545–545. 2 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

Breakdown of academic impact, for papers by R. V. Churchill Breakdown of academic impact, for papers by Gustav Doetsch Breakdown of academic impact, for papers by William E. Boyce Breakdown of academic impact, for papers by Stanley J. Farlow Breakdown of academic impact, for papers by Peter L. Balise Breakdown of academic impact, for papers by Ned Anderson Breakdown of academic impact, for papers by R. M. Redheffer Breakdown of academic impact, for papers by Donald B. Houghton Breakdown of academic impact, for papers by S. D. Conte Breakdown of academic impact, for papers by Herbert Maisel
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