On linearization coefficients of \(q\)-Laguerre polynomials

DOI10.37236/9275zbMath1481.05014arXiv2001.01930OpenAlexW3105113073MaRDI QIDQ5918846

Byung-Hak Hwang, Jang Soo Kim, Sang-Hoon Yu, Jaeseong Oh

Publication date: 4 June 2020

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.01930

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Partitions of sets (05A18) (q)-calculus and related topics (05A30) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Cites Work

• The combinatorics of Al-Salam-Chihara \(q\)-Laguerre polynomials
• The combinatorics of q-Hermite polynomials and the Askey-Wilson integral
• The combinatorics of Meixner polynomials: Linearization coefficients
• Separation of variables and combinatorics of linearization coefficients of orthogonal polynomials
• Combinatorics of \((q,y)\)-Laguerre polynomials and their moments
• Linearization coefficients for orthogonal polynomials using stochastic processes
• The combinatorics of the Al-Salam-Chihara \(q\)-Charlier polynomials
• Moments of orthogonal polynomials and combinatorics
• Laguerre Polynomials, Weighted Derangements, and Positivity
• Derangements and Laguerre polynomials
• Combinatorial orthogonal expansions
• A combinatorial formula for the linearization coefficients of general Sheffer polynomials

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