Expansion formulas. II: Variations on a theme

DOI10.1016/0022-247X(81)90221-3zbMath0469.05012WikidataQ59412132 ScholiaQ59412132MaRDI QIDQ1156802

S. A. Joni

Publication date: 1981

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

zbMATH Keywords

Sheffer sequencesLagrange inversion theoremformal x-laurent seriesinvertible power seriessequences of formal seriesupper factorial special sequences

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Permutations, words, matrices (05A05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Cites Work

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• Expansion formulas. I: A general method
• The umbral calculus
• The algebra of formal series
• On the foundations of combinatorial theory. VIII: Finite operator calculus
• Composition sequences
• Coalgebras and Bialgebras in Combinatorics
• Some Expansions and Convolution Formulas Related to MacMahon’s Master Theorem
• A New Expression for Umbral Operators and Power Series Inversion
• Higher dimensional polynomials of binomial type and formal power series inversion
• Lagrange inversion in higher dimensions and umbral operators
• An Application of MacMahon’s Master Theorem

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