Results 131 to 140 of about 416 (164)
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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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Guide to the Umbral Calculus [PDF]
, 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 associated with Bernoulli polynomials [PDF]
Journal of Number Theory, 2015 TextRecently, R. Dere and Y. Simsek have studied applications of umbral algebra to generating functions for the Hermite type Genocchi polynomials and numbers [6].
Taekyun Kim
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Angular momentum theory, umbral calculus, and combinatorics [PDF]
Computers and Mathematics With Applications, 2001 The theory of the unitary irreducible representations of the unitary group SU(2) is reviewed with the objective of demonstrating the fundamental role that the umbral calculus and combinatorics play.
William Y C Chen
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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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The umbral calculus and orthogonal polynomials
Acta Applicandae Mathematicae, 1990zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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