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AUTOMORPHISMS GENERATED BY UMBRAL CALCULUS ON A NUCLEAR SPACE OF ENTIRE TEST FUNCTIONS
, 2018 Jamil F, Kondratiev Y, Menchavez S, Streit L. AUTOMORPHISMS GENERATED BY UMBRAL CALCULUS ON A NUCLEAR SPACE OF ENTIRE TEST FUNCTIONS. METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY.
Streit, Ludwig ; https://orcid.org/ +3 more
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Book Review: The umbral calculus [PDF]
Bulletin of the American Mathematical Society, 1985 openaire +1 more source
Extended finite operator calculus—an example of algebraization of analysis
Open Mathematics, 2004 Kwaśniewski Andrzej, Borak Ewa
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SIAM Journal on Mathematical Analysis, 1994
In this paper the authors, Rota and Taylor, present a simple and rigorous treatment of umbral calculus which has been discussed in the past, among others, by J. Blissard, E. T. Bell, and J. Riordan. The basic construct here is a polynomial ring in several variables, on which no less than three equivalence relations are defined.
Rota, G.-C., Taylor, B. D.
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In this paper the authors, Rota and Taylor, present a simple and rigorous treatment of umbral calculus which has been discussed in the past, among others, by J. Blissard, E. T. Bell, and J. Riordan. The basic construct here is a polynomial ring in several variables, on which no less than three equivalence relations are defined.
Rota, G.-C., Taylor, B. D.
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, 2022 This book covers different aspects of umbral calculus and of its more recent developments. It discusses the technical details in depth, including its relevant applications. The book has therefore manyfold scopes to introduce a mathematical tool, not widespread known as it should be; to present a complete account of the relevant capabilities through the
Silvia Licciardi, Giuseppe Dattoli
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Umbral Calculus in Hilbert Space
1998No abstract.
Di Bucchianico, A. +2 more
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Frobenius Endomorphisms in the Umbral Calculus
Studies in Applied Mathematics, 1980Frobenius operators Fn are introduced on sequences of binomial type. The Laguerre polynomials are essentially characterized by the property that Fn coincides with n‐fold binomial convolution.
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Natural Exponential Families and Umbral Calculus
1998We use the Umbral Calculus to investigate the relation between natural exponential families and Sheffer polynomials. As a corollary, we obtain a new transparent proof of Feinsilver’s theorem which says that natural exponential families have a quadratic variance function if and only if their associated Sheffer polynomials are orthogonal.
Di Bucchianico, A., Loeb, D.E.
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The umbral calculus on logarithmic algebras
Acta Applicandae Mathematicae, 1990zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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