What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Combinatorics (71.13%)
- Orthogonal polynomials (31.69%)
- Discrete mathematics (21.13%)
What were the highlights of his more recent work (between 2011-2020)?
- Combinatorics (71.13%)
- Orthogonal polynomials (31.69%)
- Pure mathematics (19.72%)
In recent papers he was focusing on the following fields of study:
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.
Between 2011 and 2020, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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