Operatormethoden für q-Identitäten II: q-Laguerre-Polynome

DOI10.1007/BF01295141zbMath0447.05008MaRDI QIDQ1146183

Johann Cigler

Publication date: 1981

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178013

zbMATH Keywords

umbral calculusanalogues of Laguerre-polynomials

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items

Discrete analogues of the Heisenberg-Weyl algebra ⋮ Generalized q-Laguerre type polynomials and q-partial differential equations ⋮ A note on q-difference equations for Cigler’s polynomials ⋮ Two-variable \(q\)-Laguerre polynomials from the context of quasi-monomiality ⋮ Operatormethoden für q-Identitäten. III: Umbrale Inversion und die Lagrangesche Formel ⋮ Elements of q-harmonic analysis ⋮ Ein Beitrag zur Theorie der Orthogonalpolynome ⋮ Hahn difference operator and associated Jackson-Nörlund integrals ⋮ Towards \(\psi\)-extension of Rota's finite operator calculus ⋮ On A Method for the Construction of Some Q -Orthogonal Polynomials ⋮ Lie algebras and recurrence relations. III: \(q\)-analogs and quantized algebras ⋮ A Method for q-Calculus ⋮ q-Laguerre polynomials and related q-partial differential equations ⋮ q-Difference equations for the generalized Cigler’s polynomials

Cites Work

• Operatormethoden für q-identitäten
• On the foundations of combinatorial theory. VIII: Finite operator calculus
• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen
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