Stephen C. Milne

1.8k total citations
50 papers, 1.2k citations indexed

About

Stephen C. Milne is a scholar working on Algebra and Number Theory, Applied Mathematics and Discrete Mathematics and Combinatorics. According to data from OpenAlex, Stephen C. Milne has authored 50 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 34 papers in Algebra and Number Theory, 24 papers in Applied Mathematics and 20 papers in Discrete Mathematics and Combinatorics. Recurrent topics in Stephen C. Milne's work include Advanced Mathematical Identities (33 papers), Mathematical functions and polynomials (22 papers) and Advanced Combinatorial Mathematics (20 papers). Stephen C. Milne is often cited by papers focused on Advanced Mathematical Identities (33 papers), Mathematical functions and polynomials (22 papers) and Advanced Combinatorial Mathematics (20 papers). Stephen C. Milne collaborates with scholars based in United States and Japan. Stephen C. Milne's co-authors include James Lepowsky, Adriano M. Garsia, Robert A. Gustafson, L. C. Biedenharn, Wayne J. Holman, Michael J. Schlosser, Eugene B. Kolomeisky and Joseph P. Straley and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Journal of Mathematical Analysis and Applications and Transactions of the American Mathematical Society.

In The Last Decade

Stephen C. Milne

50 papers receiving 1.0k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Stephen C. Milne United States	22	804	565	415	328	224	50	1.2k
Mizan Rahman Canada	12	1.2k 1.5×	580 1.0×	1.3k 3.2×	445 1.4×	253 1.1×	32	2.2k
Nobushige Kurokawa Japan	15	948 1.2×	354 0.6×	323 0.8×	519 1.6×	562 2.5×	96	1.4k
Jiang Zeng France	18	803 1.0×	852 1.5×	304 0.7×	192 0.6×	143 0.6×	120	1.1k
Christian Krattenthaler Austria	18	648 0.8×	876 1.6×	198 0.5×	431 1.3×	288 1.3×	110	1.3k
Wenchang Chu China	19	1.2k 1.5×	624 1.1×	691 1.7×	195 0.6×	112 0.5×	259	1.5k
Karl Dilcher Canada	16	634 0.8×	374 0.7×	281 0.7×	187 0.6×	107 0.5×	99	884
Frits Beukers Netherlands	20	651 0.8×	225 0.4×	476 1.1×	661 2.0×	435 1.9×	65	1.5k
William Y. C. Chen China	16	469 0.6×	505 0.9×	153 0.4×	189 0.6×	110 0.5×	99	905
Dominique Foata France	19	844 1.0×	1.1k 2.0×	154 0.4×	436 1.3×	290 1.3×	81	1.6k
Alain Lascoux France	21	814 1.0×	1.1k 2.0×	100 0.2×	1.2k 3.6×	598 2.7×	75	1.7k

Countries citing papers authored by Stephen C. Milne

Since Specialization

Citations

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

Fields of papers citing papers by Stephen C. Milne

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Stephen C. Milne. 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 Stephen C. Milne. The network helps show where Stephen C. Milne may publish in the future.

Co-authorship network of co-authors of Stephen C. Milne

This figure shows the co-authorship network connecting the top 25 collaborators of Stephen C. Milne. A scholar is included among the top collaborators of Stephen C. Milne 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 Stephen C. Milne. Stephen C. Milne 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

Milne, Stephen C., et al.. (2000). Weighted-Inversion Statistics and Their Symmetry Groups. Journal of Combinatorial Theory Series A. 90(1). 49–103. 1 indexed citations

Milne, Stephen C., et al.. (1998). A characterization of inverse relations. Discrete Mathematics. 193(1-3). 235–245. 15 indexed citations

Milne, Stephen C., et al.. (1997). Generalized Bibasic Hypergeometric Series and TheirU(n) Extensions. Advances in Mathematics. 131(1). 188–252. 25 indexed citations

Milne, Stephen C., et al.. (1995). Consequences of the Al and Cl Bailey transform and Bailey lemma. Discrete Mathematics. 139(1-3). 319–346. 41 indexed citations

Milne, Stephen C.. (1994). A q-Analog of a Whipple′s Transformation for Hypergeometric Series in U(n). Advances in Mathematics. 108(1). 1–76. 16 indexed citations

Milne, Stephen C.. (1993). A q-Analog of the Balanced 3F2 Summation Theorem for Hypergeometric Series in U(n). Advances in Mathematics. 99(2). 162–237. 6 indexed citations

Milne, Stephen C., et al.. (1992). The 𝐴_{ℓ} and 𝐶_{ℓ} Bailey transform and lemma. Bulletin of the American Mathematical Society. 26(2). 258–263. 29 indexed citations

Milne, Stephen C.. (1991). A triple product identity for Schur functions. Journal of Mathematical Analysis and Applications. 160(2). 446–458. 1 indexed citations

Milne, Stephen C.. (1987). Basic hypergeometric series very well-poised in U(n). Journal of Mathematical Analysis and Applications. 122(1). 223–256. 41 indexed citations

10.

Milne, Stephen C.. (1986). A U(n) generalization of Ramanujan's 1Ψ1 summation. Journal of Mathematical Analysis and Applications. 118(1). 263–277. 11 indexed citations

11.

Milne, Stephen C.. (1984). An umbral calculus for polynomials characterizing tensor products.. 8. 1 indexed citations

12.

Biedenharn, L. C., Robert A. Gustafson, & Stephen C. Milne. (1984). An umbral calculus for polynomials characterizing U(n) tensor operators. Advances in Mathematics. 51(1). 36–90. 16 indexed citations

13.

Gustafson, Robert A. & Stephen C. Milne. (1983). Schur functions, Good's identity, and hypergeometric series well poised in SU(n). Advances in Mathematics. 48(2). 177–188. 25 indexed citations

14.

Milne, Stephen C.. (1982). Mappings of subspaces into subsets. Journal of Combinatorial Theory Series A. 33(1). 36–47. 10 indexed citations

15.

Milne, Stephen C.. (1982). Restricted growth functions, rank row matchings of partition lattices, and q-Stirling numbers. Advances in Mathematics. 43(2). 173–196. 52 indexed citations

16.

Milne, Stephen C.. (1980). Hypergeometric series well-poised in SU(n) and a generalization of Biedenharn's G-functions. Advances in Mathematics. 36(2). 169–211. 24 indexed citations

17.

Biedenharn, L. C., Wayne J. Holman, & Stephen C. Milne. (1980). The invariant polynomials characterizing U(n) tensor operators 〈p, q,…, q, 0,…, 0〉 having maximal null space. Advances in Applied Mathematics. 1(4). 390–472. 17 indexed citations

18.

Milne, Stephen C.. (1980). Peano curves and smoothness of functions. Advances in Mathematics. 35(2). 129–157. 28 indexed citations

19.

Lepowsky, James & Stephen C. Milne. (1978). Lie algebraic approaches to classical partition identities. Advances in Mathematics. 29(1). 15–59. 87 indexed citations

20.

Milne, Stephen C.. (1977). Restricted growth functions and incidence relations of the lattice of partitions of an n-set. Advances in Mathematics. 26(3). 290–305. 16 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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