A general umbral calculus in infinitely many variables

DOI10.1016/0001-8708(83)90034-8zbMath0529.05003OpenAlexW2041178719MaRDI QIDQ787139

Andrea Brini, Marilena Barnabei, Giorgio Nicoletti

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0001-8708(83)90034-8

zbMATH Keywords

Laurent seriesUmbral calculusrecursive matrix

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items

Éclosions combinatoires appliquées à l'inversion multidimensionnelle des séries formelles. (Combinatorial bloomings applied to the multidimensional inversion of formal series), A symbolic treatment of Riordan arrays, Identities induced by Riordan arrays, Lagrange inversion in infinitely many variables, An infinite dimensional umbral calculus, General power umbral calculus in several variables, Sheffer homeomorphisms of spaces of entire functions in infinite dimensional analysis, Higher dimensional recursive matrices and diagonal delta sets of series, The theory of compositionals, Compositional calculus

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