A tribute to Dennis Stanton

DOI10.1016/j.aam.2010.09.005zbMath1211.01015OpenAlexW2133417851MaRDI QIDQ534173

Victor Reiner, Mourad E. H. Ismail, H. T. Koelink

Publication date: 17 May 2011

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2010.09.005

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) History of special functions (33-03)

Cites Work

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• q-beta integrals and the q-Hermite polynomials
• Extension of the Kibble-Slepian formula for Hermite polynomials using boson operator methods
• Some Hermite polynomial identities and their combinatorics
• A trinomial analogue of Bailey's lemma and \(N=2\) superconformal invariance
• ``Addition theorems for some \(q\)-exponential and \(q\)-trigonometric functions
• Continued fractions with three limit points
• Determinants with orthogonal polynomial entries
• On certain determinants whose elements are orthogonal polynomials
• Monotonicity properties of determinants of special functions
• The 2-Transitive Permutation Representations of the Finite Chevalley Groups
• q-Hermite Polynomials, Biorthogonal Rational Functions, and q-Beta Integrals
• 𝑞-Krawtchouk polynomials as spherical functions on the Hecke algebra of type 𝐵
• On Ramanujan’s continued fraction for (𝑞²;𝑞³)_{∞}/(𝑞;𝑞³)_{∞}
• On an inequality of P. Turán concerning Legendre polynomials

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