The Combinatorics of Laguerre, Charlier, and Hermite Polynomials
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Publication:3820910
DOI10.1002/sapm198980125zbMath0668.33006OpenAlexW2472564792MaRDI QIDQ3820910
Yeong-Nan Yeh, Jacques Labelle
Publication date: 1989
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/sapm198980125
Permutations, words, matrices (05A05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)
Related Items (16)
The combinatorics of \(q\)-Charlier polynomials ⋮ Some combinatorics of the hypergeometric series ⋮ Combinatorial proofs of symmetry formulas for the generalized hypergeometric series ⋮ Rényi entropies, \(L_q\) norms and linearization of powers of hypergeometric orthogonal polynomials by means of multivariate special functions ⋮ Combinatorial proofs of some limit formulas involving orthogonal polynomials ⋮ Combinatorial probability interpretation of certain modified orthogonal polynomials ⋮ Unnamed Item ⋮ Counting asymmetric enriched trees ⋮ On the symmetry and asymmetry of combinatorial structures ⋮ Self-similarity in the combinatorial theory of orthogonal polynomials ⋮ Higher-order matching polynomials and \(d\)-orthogonality ⋮ Multilinear generating functions for Charlier polynomials ⋮ On the combinatorics of the Boros-Moll polynomials ⋮ Unnamed Item ⋮ The combinatorics of associated Hermite polynomials ⋮ On the combinatorics of the Pfaff identity
Cites Work
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- Jacobi polynomials: Combinatorics of the basic identities
- On combinatorial differential equations
- Une nouvelle demonstration combinatoire des formules d'inversion de Lagrange
- Une théorie combinatoire des séries formelles
- A combinational proof of the Mehler formula
- Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
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