Results 111 to 120 of about 3,137 (142)

Book Review: The umbral calculus [PDF]

Bulletin of the American Mathematical Society, 1985
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Extended finite operator calculus—an example of algebraization of analysis

Open Mathematics, 2004
Kwaśniewski Andrzej, Borak Ewa
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The Classical Umbral Calculus

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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Umbral Calculus in Hilbert Space

1998
No abstract.
Di Bucchianico, A., Loeb, D.E., Rota, G.C.   +2 more
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Natural Exponential Families and Umbral Calculus

1998
We 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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Frobenius Endomorphisms in the Umbral Calculus

Studies in Applied Mathematics, 1980
Frobenius 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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The Umbral Calculus

Mathematical Social Sciences, 1986
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Multivariate Umbral calculus

Linear and Multilinear Algebra, 1978
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Applications of the classical umbral calculus

Algebra Universalis, 2003
Ira M Gessel
exaly