New \(q\)-Laguerre polynomials having factorized permutation interpretations

DOI10.1016/j.jmaa.2018.09.057zbMath1397.05023OpenAlexW2895137549MaRDI QIDQ1799762

Ji-Hwan Jung, Suh-Ryung Kim, Gi-Sang Cheon

Publication date: 19 October 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.09.057

zbMATH Keywords

permutations\(q\)-Riordan matrix\(q\)-Laguerre polynomials\(q\)-rook numbers

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (1)

Combinatorics of \((q,y)\)-Laguerre polynomials and their moments

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some combinatorial applications of the \(q\)-Riordan matrix
• The combinatorics of Al-Salam-Chihara \(q\)-Laguerre polynomials
• The \(r\)-Stirling numbers
• Q-counting rook configurations and a formula of Frobenius
• The q-analogue of the Laguerre polynomials
• A combinatorial interpretation of q-derangement and q-Laguerre numbers
• A \(q\)-analog of the exponential formula
• Octabasic Laguerre polynomials and permutation statistics
• Some applications of the \(q\)-exponential formula
• A local Riemann hypothesis. I
• A \(q\)-analogue of the Riordan group
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• Bound on the Extreme Zeros of Orthogonal Polynomials
• Convolutions of Orthonormal Polynomials
• Specializations of Generalized Laguerre Polynomials
• A Discrete Approach to Monotonicity of Zeros of Orthogonal Polynomials
• The \(q\)-Sheffer sequences of a new type and associated orthogonal polynomials

This page was built for publication: New \(q\)-Laguerre polynomials having factorized permutation interpretations