H. W. Gould

2.4k total citations
96 papers, 1.6k citations indexed

About

H. W. Gould is a scholar working on Algebra and Number Theory, Applied Mathematics and Geometry and Topology. According to data from OpenAlex, H. W. Gould has authored 96 papers receiving a total of 1.6k indexed citations (citations by other indexed papers that have themselves been cited), including 36 papers in Algebra and Number Theory, 23 papers in Applied Mathematics and 22 papers in Geometry and Topology. Recurrent topics in H. W. Gould's work include Advanced Mathematical Identities (32 papers), Mathematics and Applications (17 papers) and Advanced Combinatorial Mathematics (17 papers). H. W. Gould is often cited by papers focused on Advanced Mathematical Identities (32 papers), Mathematics and Applications (17 papers) and Advanced Combinatorial Mathematics (17 papers). H. W. Gould collaborates with scholars based in United States and Canada. H. W. Gould's co-authors include Jocelyn Quaintance, L. C. Hsu, Tian-Xiao He, H. M. Srivastava, L. Carlitz, T. A. Chapman, William Squire and John Brillhart and has published in prestigious journals such as Mathematics of Computation, Journal of Mathematical Analysis and Applications and SIAM Review.

In The Last Decade

H. W. Gould

84 papers receiving 1.3k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
H. W. Gould United States	21	861	647	552	338	262	96	1.6k
Mizan Rahman Canada	12	1.2k 1.4×	1.3k 2.0×	580 1.1×	426 1.3×	445 1.7×	32	2.2k
Louis Comtet France	5	1.2k 1.4×	648 1.0×	1.1k 2.0×	335 1.0×	363 1.4×	7	2.4k
W. N. Bailey United Kingdom	7	536 0.6×	562 0.9×	187 0.3×	161 0.5×	165 0.6×	9	1.3k
Stephen C. Milne United States	22	804 0.9×	415 0.6×	565 1.0×	145 0.4×	328 1.3×	50	1.2k
E. C. Titchmarsh United Kingdom	13	1.2k 1.4×	652 1.0×	289 0.5×	315 0.9×	467 1.8×	35	2.1k
Frits Beukers Netherlands	20	651 0.8×	476 0.7×	225 0.4×	304 0.9×	661 2.5×	65	1.5k
Dennis Stanton United States	26	1.2k 1.4×	666 1.0×	1.3k 2.3×	177 0.5×	577 2.2×	100	2.3k
George Gasper United States	20	1.3k 1.5×	1.9k 3.0×	612 1.1×	482 1.4×	561 2.1×	64	2.9k
Albert Nijenhuis United States	20	796 0.9×	306 0.5×	163 0.3×	432 1.3×	917 3.5×	66	1.8k
Morris Newman United States	22	702 0.8×	262 0.4×	525 1.0×	90 0.3×	568 2.2×	169	1.9k

Countries citing papers authored by H. W. Gould

Since Specialization

Citations

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

Fields of papers citing papers by H. W. Gould

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of H. W. Gould

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

All Works

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20 of 20 papers shown

1.

Gould, H. W., et al.. (2015). On Certain Sums of Stirling Numbers with Binomial Coefficients. 18. 1 indexed citations

2.

Gould, H. W. & Jocelyn Quaintance. (2014). Bernoulli Numbers and a New Binomial Transform Identity. 17. 5 indexed citations

3.

Gould, H. W. & Jocelyn Quaintance. (2010). Generalizations of Vosmansky’s Identity. The Fibonacci quarterly. 48(1). 56–61.

4.

Carlitz, L. & H. W. Gould. (2007). Remarks on MacMahons identity for sums of cubes of binomial coefficients.. Ars Combinatoria. 85. 2 indexed citations

5.

Gould, H. W.. (2007). Bell and Catalan Numbers: A Research Bibliography of Two Special Number Sequences. 5 indexed citations

6.

Gould, H. W.. (2004). 88.03 A curious identity which is not so curious. The Mathematical Gazette. 88(511). 87–87. 2 indexed citations

7.

Gould, H. W.. (2004). Sums of powers of binomial coefficients via Legendre polynomials, Part 2.. Ars Combinatoria. 73.

8.

Gould, H. W.. (1994). A Bracket Function Transform and Its Inverse. The Fibonacci quarterly. 32(2). 176–179.

9.

Gould, H. W.. (1977). Generalization of a formula of Touchard for Catalan numbers. Journal of Combinatorial Theory Series A. 23(3). 351–353. 3 indexed citations

10.

Gould, H. W.. (1977). A Rearrangement of Series Based on a Partition of the Natural Numbers. The Fibonacci quarterly. 15(1). 67–72. 6 indexed citations

11.

Gould, H. W.. (1976). Die mathematischen Studien von G. W. Leibniz zur Kombinatorik. Eberhard Knobloch. Isis. 67(2). 315–316.

12.

Gould, H. W.. (1974). Coefficient Identities for Powers of Taylor and Dirichlet Series. American Mathematical Monthly. 81(1). 3–14. 55 indexed citations

13.

Gould, H. W.. (1974). Generalization of Hermite’s Divisibility Theorems and the Mann-Shanks Primality Criterion for s-Fibonomial Arrays. The Fibonacci quarterly. 12(2). 157–166. 6 indexed citations

14.

Gould, H. W.. (1972). The Case of the Strange Binomial Identities of Professor Moriarty. The Fibonacci quarterly. 10(4). 381–392. 2 indexed citations

15.

Gould, H. W.. (1972). Some Combinatorial Identities of Bruckman - A Systematic Treatment with Relation to the Older Literature. The Fibonacci quarterly. 10(6). 613–628. 4 indexed citations

16.

Gould, H. W.. (1967). Note on a Combinatorial Identity in the Theory of Bi-Colored Graphs. The Fibonacci quarterly. 5(3). 247–250. 1 indexed citations

17.

Gould, H. W.. (1965). Inverse series relations and other expansions involving Humbert polynomials. Duke Mathematical Journal. 32(4). 62 indexed citations

18.

Gould, H. W.. (1961). A series transformation for finding convolution identities. Duke Mathematical Journal. 28(2). 34 indexed citations

19.

Gould, H. W.. (1960). The Lagrange interpolation formula and Stirling numbers. Proceedings of the American Mathematical Society. 11(3). 421–425. 7 indexed citations

20.

Gould, H. W.. (1959). An Iterative Approximation for Finding the N-th Root of a Number. Mathematics Magazine. 33(2). 61–61. 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.

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