Extensions of umbral calculus: Penumbral coalgebras and generalized Bernoulli numbers

DOI10.1016/0001-8708(86)90065-4zbMath0631.05002OpenAlexW2075091968MaRDI QIDQ1094424

Nigel Ray

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0001-8708(86)90065-4

zbMATH Keywords

generalized Bernoulli numbersumbral calculusgraded rings\(\Delta \)-operatorE- algebraE-coalgebrapenumbral coalgebra

Mathematics Subject Classification ID

Umbral calculus (05A40) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items

The Universal Von Staudt Theorems, Hopf algebras of set systems, The iterated logarithmic algebra. II: Sheffer sequences, Extensions of umbral calculus. II: Double delta operators, Leibniz extensions and Hattori-Stong theorems, Universal Kummer congruences mod prime powers, Bounds of divided universal Bernoulli numbers and universal Kummer congruences, Sequences of Symmetric Functions of Binomial Type, Formal power series of logarithmic type, Representations of degenerate poly-Bernoulli polynomials, Umbral Calculus, Binomial Enumeration and Chromatic Polynomials, THE UNIVERSAL KUMMER CONGRUENCES, Universal higher order Bernoulli numbers and Kummer and related congruences, Modified Stirling numbers and \(p\)-divisibility in the universal typical \(p^k\)-series

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