Umbral calculus and special functions

DOI10.1016/0001-8708(88)90040-0zbMath0645.05011OpenAlexW2001076571MaRDI QIDQ1102964

Kazuo Ueno

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0001-8708(88)90040-0

zbMATH Keywords

polynomialsumbral calculusvector spacelinear functionalscommutative algebraco-algebra-co-modulas formulation

Mathematics Subject Classification ID

Umbral calculus (05A40) Research exposition (monographs, survey articles) pertaining to special functions (33-02) Other special functions (33E99)

Related Items

Umbral calculus and special functions, Series with general exponents, The iterated logarithmic algebra, A generalization of the Stirling numbers, A generalization of the binomial coefficients, Continuous Sheffer families. I, Formal coalgebras and applications, Generalized Bernstein polynomials and Bézier curves: an application of umbral calculus to computer aided geometric design, Formal power series of logarithmic type, General power umbral calculus in several variables, The classical umbral calculus and the flow of a Drinfeld module

Cites Work

• The theory of the umbral calculus. III
• Umbral calculus and special functions
• Sur l'inversion et i'itération continue des séries formelles
• The theory of the umbral calculus. I
• The umbral calculus
• Hopf algebras and combinatorics
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