H. Bateman

17.6k total citations · 4 hit papers
10 papers, 9.2k citations indexed

About

H. Bateman is a scholar working on Numerical Analysis, Atomic and Molecular Physics, and Optics and Computational Theory and Mathematics. According to data from OpenAlex, H. Bateman has authored 10 papers receiving a total of 9.2k indexed citations (citations by other indexed papers that have themselves been cited), including 1 paper in Numerical Analysis, 1 paper in Atomic and Molecular Physics, and Optics and 1 paper in Computational Theory and Mathematics. Recurrent topics in H. Bateman's work include Optical and Acousto-Optic Technologies (1 paper), Matrix Theory and Algorithms (1 paper) and Numerical methods for differential equations (1 paper). H. Bateman is often cited by papers focused on Optical and Acousto-Optic Technologies (1 paper), Matrix Theory and Algorithms (1 paper) and Numerical methods for differential equations (1 paper). H. Bateman collaborates with scholars based in . H. Bateman's co-authors include Arthur Erdélyi, J.S. Boatwright, B.-E. Van Wyk, Jiřı́ Kvaček, W. E. Milne, L. Fox and N. I︠a︡. Vilenkin and has published in prestigious journals such as American Mathematical Monthly, CaltechAUTHORS (California Institute of Technology) and CERN Document Server (European Organization for Nuclear Research).

In The Last Decade

H. Bateman

9 papers receiving 7.9k citations

Hit Papers

Higher Transcendental Functions 1953 2026 1977 2001 1981 1954 1955 1953 1000 2.0k 3.0k 4.0k
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. Higher Transcendental Functions
    1981 4.4k citations H. Bateman, Arthur Erdélyi et al. Medical Entomology and Zoology profile →
  2. Higher Transcendental Functions.
    1954 3.5k citations H. Bateman, Arthur Erdélyi et al. American Mathematical Monthly profile →
  3. Higher transcendental functions
    1955 589 citations H. Bateman CERN Document Server (European Organization for Nuclear Research) profile →
  4. Higher transcendental functions. Vol. II
    1953 452 citations H. Bateman, B.-E. Van Wyk et al. profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
H. Bateman 9 3.1k 2.2k 1.8k 1.6k 987 10 9.2k
Arthur Erdélyi United States 5 2.7k 0.9× 1.9k 0.9× 1.6k 0.9× 1.4k 0.8× 855 0.9× 7 8.0k
F. W. J. Olver United States 26 2.1k 0.7× 1.8k 0.8× 1.3k 0.7× 1.2k 0.7× 559 0.6× 85 7.4k
Carl Hammer United States 9 1.7k 0.5× 1.4k 0.6× 1.1k 0.6× 917 0.6× 638 0.6× 63 7.8k
Wilhelm Magnus United States 20 1.2k 0.4× 2.4k 1.1× 1.4k 0.8× 1.8k 1.1× 680 0.7× 42 8.0k
Richard A. Silverman United States 25 2.9k 0.9× 1.7k 0.8× 944 0.5× 1.8k 1.1× 283 0.3× 42 9.5k
I.M. RYZHIK United States 4 1.4k 0.4× 4.8k 2.2× 2.4k 1.3× 1.2k 0.7× 1.6k 1.7× 6 19.7k
Alan Jeffrey United Kingdom 29 1.5k 0.5× 3.8k 1.7× 2.5k 1.4× 1.2k 0.8× 1.3k 1.3× 149 15.3k
K. S. Kölbig Switzerland 14 1.1k 0.4× 2.3k 1.0× 1.1k 0.6× 624 0.4× 1.0k 1.0× 57 9.3k
Mark Kac United States 35 1.4k 0.4× 2.6k 1.2× 3.2k 1.8× 2.0k 1.2× 320 0.3× 114 10.0k
Willard Miller United States 33 938 0.3× 2.1k 0.9× 3.5k 1.9× 631 0.4× 529 0.5× 153 5.8k

Countries citing papers authored by H. Bateman

Since Specialization
Citations

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

Fields of papers citing papers by H. Bateman

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of H. Bateman

This figure shows the co-authorship network connecting the top 25 collaborators of H. Bateman. A scholar is included among the top collaborators of H. Bateman 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 H. Bateman. H. Bateman 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.
Bateman, H.. (2015). The mathematical analysis of electrical and optical wave-motion. 18 indexed citations
2.
Bateman, H.. (2007). Partial Differential Equations. Bulletin of Miscellaneous Information (Royal Gardens Kew). 9 indexed citations
3.
Bateman, H., et al.. (1981). Higher Transcendental Functions. Medical Entomology and Zoology. 4415 indexed citations breakdown →
4.
Bateman, H., Arthur Erdélyi, & N. I︠a︡. Vilenkin. (1974). Высшие трансцендентные функции : функции бесселя функции параболического цилиндра, ортогональные многочлены. Medical Entomology and Zoology.
5.
Fox, L., et al.. (1957). Numerical Integration of Differential Equations.. American Mathematical Monthly. 64(7). 520–520. 18 indexed citations
6.
Bateman, H.. (1955). Higher transcendental functions. CERN Document Server (European Organization for Nuclear Research). 589 indexed citations breakdown →
7.
Bateman, H., et al.. (1954). Higher Transcendental Functions.. American Mathematical Monthly. 61(8). 576–576. 3487 indexed citations breakdown →
8.
Bateman, H. & Jiřı́ Kvaček. (1954). Tables of Integral Transforms Vol.II. 163 indexed citations
9.
Bateman, H.. (1953). Higher Transcendental Functions [Volumes I-III]. CaltechAUTHORS (California Institute of Technology). 43(3). 453–464. 96 indexed citations
10.
Bateman, H., et al.. (1953). Higher transcendental functions. Vol. II. 452 indexed citations breakdown →

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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