Warren P. Johnson

775 total citations · 1 hit paper
17 papers, 496 citations indexed

About

Warren P. Johnson is a scholar working on Algebra and Number Theory, Discrete Mathematics and Combinatorics and Geometry and Topology. According to data from OpenAlex, Warren P. Johnson has authored 17 papers receiving a total of 496 indexed citations (citations by other indexed papers that have themselves been cited), including 8 papers in Algebra and Number Theory, 7 papers in Discrete Mathematics and Combinatorics and 6 papers in Geometry and Topology. Recurrent topics in Warren P. Johnson's work include Advanced Combinatorial Mathematics (7 papers), Advanced Mathematical Identities (5 papers) and Mathematics and Applications (4 papers). Warren P. Johnson is often cited by papers focused on Advanced Combinatorial Mathematics (7 papers), Advanced Mathematical Identities (5 papers) and Mathematics and Applications (4 papers). Warren P. Johnson collaborates with scholars based in United States. Warren P. Johnson's co-authors include Steven J. Miller and Emeric Deutsch and has published in prestigious journals such as American Mathematical Monthly, Linear Algebra and its Applications and Discrete Mathematics.

In The Last Decade

Warren P. Johnson

17 papers receiving 457 citations

Hit Papers

The Curious History of Faà di Bruno's Formula 2002 2026 2010 2018 2002 50 100 150 200
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. The Curious History of Faà di Bruno's Formula
    2002 241 citations Warren P. Johnson American Mathematical Monthly profile →

Peers

Warren P. Johnson
Philip Feinsilver United States
Kenneth I. Gross United States
Victor H. Moll United States
Charles Jordan Japan
Carl Friedrich Gauß
Plamen Koev United States
Harold Exton United Kingdom
D. V. Chudnovsky United States
J. Petronilho Portugal
Xavier Gourdon France
Philip Feinsilver United States
Warren P. Johnson
Citations per year, relative to Warren P. Johnson Warren P. Johnson (= 1×) peers Philip Feinsilver

Countries citing papers authored by Warren P. Johnson

Since Specialization
Citations

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

Fields of papers citing papers by Warren P. Johnson

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Warren P. Johnson. 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 Warren P. Johnson. The network helps show where Warren P. Johnson may publish in the future.

Co-authorship network of co-authors of Warren P. Johnson

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

All Works

17 of 17 papers shown
1.
Johnson, Warren P.. (2021). Some tridiagonal determinants. The Ramanujan Journal. 61(1). 319–328. 3 indexed citations
2.
Johnson, Warren P.. (2020). An Introduction to 𝑞-analysis. American Mathematical Society eBooks. 5 indexed citations
3.
Johnson, Warren P., et al.. (2015). The James Function. Mathematics Magazine. 88(1). 54–71. 2 indexed citations
4.
Johnson, Warren P.. (2010). Trigonometric Identities à la Hermite. American Mathematical Monthly. 117(4). 311–311. 2 indexed citations
5.
Johnson, Warren P.. (2006). The Pfaff/Cauchy derivative identities and Hurwitz type extensions. The Ramanujan Journal. 13(1-3). 167–201. 4 indexed citations
6.
Johnson, Warren P.. (2004). Confluent q-extensions of some classical determinants. Linear Algebra and its Applications. 411. 281–294. 3 indexed citations
7.
Johnson, Warren P.. (2004). How Cauchy Missed Ramanujan's 1 ψ 1 Summation. American Mathematical Monthly. 111(9). 791–791. 1 indexed citations
8.
Johnson, Warren P.. (2004). How Cauchy Missed Ramanujan's 1ψ1 Summation. American Mathematical Monthly. 111(9). 791–800. 1 indexed citations
9.
Deutsch, Emeric & Warren P. Johnson. (2004). Create Your Own Permutation Statistics. Mathematics Magazine. 77(2). 130–134. 1 indexed citations
10.
Johnson, Warren P.. (2002). Combinatorics of Higher Derivatives of Inverses. American Mathematical Monthly. 109(3). 273–273. 9 indexed citations
11.
Johnson, Warren P.. (2002). The Curious History of Faà di Bruno's Formula. American Mathematical Monthly. 109(3). 217–234. 241 indexed citations breakdown →
12.
Johnson, Warren P.. (2002). The Curious History of Faa di Bruno's Formula. American Mathematical Monthly. 109(3). 217–217. 162 indexed citations
13.
Johnson, Warren P.. (2002). Combinatorics of Higher Derivatives of Inverses. American Mathematical Monthly. 109(3). 273–277. 15 indexed citations
14.
Johnson, Warren P.. (2000). Some polynomials associated with up-down permutations. Discrete Mathematics. 210(1-3). 117–136. 2 indexed citations
15.
Johnson, Warren P.. (1996). Some applications of the q-exponential formula. Discrete Mathematics. 157(1-3). 207–225. 20 indexed citations
16.
Johnson, Warren P.. (1996). Aq-Analogue of Faà di Bruno's Formula. Journal of Combinatorial Theory Series A. 76(2). 305–314. 11 indexed citations
17.
Johnson, Warren P.. (1996). q-Extensions of identities of Abel-Rothe type. Discrete Mathematics. 159(1-3). 161–177. 14 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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