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- Dennis Stanton

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
30
Citations
4,086
141
World Ranking
2713
National Ranking
1124

- Combinatorics
- Algebra
- Mathematical analysis

Dennis Stanton focuses on Combinatorics, Orthogonal polynomials, Hahn polynomials, Discrete mathematics and Pure mathematics. His Combinatorics study frequently draws connections between related disciplines such as Main diagonal. His Orthogonal polynomials study typically links adjacent topics like Rogers–Ramanujan identities.

His Hahn polynomials study combines topics from a wide range of disciplines, such as Wilson polynomials, Discrete orthogonal polynomials and Difference polynomials. Within one scientific family, Dennis Stanton focuses on topics pertaining to Laguerre polynomials under Wilson polynomials, and may sometimes address concerns connected to Gegenbauer polynomials and Statistics. His Discrete mathematics research incorporates themes from Chromatic polynomial and Partition.

- Cranks and t-cores. (256 citations)
- The cyclic sieving phenomenon (223 citations)
- The combinatorics of q -Hermite polynomials and the Askey-Wilson integral (174 citations)

His primary areas of investigation include Combinatorics, Orthogonal polynomials, Discrete mathematics, Pure mathematics and Discrete orthogonal polynomials. Dennis Stanton performs integrative Combinatorics and Gaussian binomial coefficient research in his work. His biological study spans a wide range of topics, including Laguerre polynomials and Algebra.

Pure mathematics connects with themes related to Polynomial in his study. His work in Discrete orthogonal polynomials addresses subjects such as Classical orthogonal polynomials, which are connected to disciplines such as Difference polynomials and Jacobi polynomials. His Generating function research is multidisciplinary, incorporating elements of Partially ordered set, Combinatorial interpretation and Polytope.

- Combinatorics (71.13%)
- Orthogonal polynomials (31.69%)
- Discrete mathematics (21.13%)

- Combinatorics (71.13%)
- Orthogonal polynomials (31.69%)
- Pure mathematics (19.72%)

His primary scientific interests are in Combinatorics, Orthogonal polynomials, Pure mathematics, Askey–Wilson polynomials and Classical orthogonal polynomials. His Combinatorics research incorporates elements of Classical group and Group. Dennis Stanton focuses mostly in the field of Orthogonal polynomials, narrowing it down to topics relating to Algebra and, in certain cases, Unimodality and Combinatorial analysis.

His work deals with themes such as Factorization, Polynomial and Modulo, which intersect with Pure mathematics. His Polynomial research focuses on Ideal and how it relates to Discrete mathematics. His study in Classical orthogonal polynomials is interdisciplinary in nature, drawing from both Discrete orthogonal polynomials and Difference polynomials.

- Formulae for Askey-Wilson moments and enumeration of staircase tableaux (40 citations)
- q-Series and Partitions (40 citations)
- Some Combinatorial and Analytical Identities (26 citations)

- Combinatorics
- Algebra
- Mathematical analysis

His primary areas of study are Combinatorics, Pure mathematics, Askey–Wilson polynomials, Discrete mathematics and Orthogonal polynomials. His research integrates issues of Group and Integer sequence in his study of Combinatorics. His studies in Pure mathematics integrate themes in fields like Factorization and Character.

The concepts of his Askey–Wilson polynomials study are interwoven with issues in Hahn polynomials, Moment, Polynomial sequence and Hermite polynomials. His Discrete mathematics research integrates issues from Invariant theory, Unitary group and Binomial. In general Orthogonal polynomials, his work in Askey scheme and Discrete orthogonal polynomials is often linked to Connection and Bootstrapping linking many areas of study.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Cranks and t-cores.

Frank Garvan;Dongsu Kim;Dennis Stanton.

Inventiones Mathematicae **(1990)**

337 Citations

The cyclic sieving phenomenon

V. Reiner;D. Stanton;D. White.

Journal of Combinatorial Theory, Series A **(2004)**

292 Citations

A schensted algorithm for rim hook tableaux

Dennis W Stanton;Dennis E White.

Journal of Combinatorial Theory, Series A **(1985)**

213 Citations

The combinatorics of q -Hermite polynomials and the Askey-Wilson integral

Mourad Ismail;Dennis Stanton;Gerard Viennot.

The Journal of Combinatorics **(1987)**

189 Citations

Applications of q-lagrange inversion to basic hypergeometric series

Ira Gessel;Dennis Stanton.

Transactions of the American Mathematical Society **(1983)**

180 Citations

Strange Evaluations of Hypergeometric Series

Ira Gessel;Dennis Stanton.

Siam Journal on Mathematical Analysis **(1982)**

171 Citations

Variants of the Rogers-Ramanujan Identities

Kristina Garrett;Mourad E.H. Ismail;Dennis Stanton.

Advances in Applied Mathematics **(1999)**

137 Citations

Group actions on Stanley-Reisner rings and invariants of permutation groups☆

A.M Garsia;D Stanton.

Advances in Mathematics **(1984)**

119 Citations

A Convolution Formula for the Tutte Polynomial

W. Kook;V. Reiner;D. Stanton.

Journal of Combinatorial Theory, Series B **(1999)**

118 Citations

Some q-Krawtchouk Polynomials on Chevalley Groups

Dennis Stanton.

American Journal of Mathematics **(1980)**

114 Citations

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