Results 161 to 170 of about 160,501 (202)
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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.
openaire   +1 more source

Umbral Calculus in Hilbert Space

1998
No abstract.
Di Bucchianico, A.   +2 more
openaire   +2 more sources

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.
openaire   +2 more sources

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.
openaire   +2 more sources

Mittag–Leffler based trivariable hermite polynomials via umbral calculus approach

Rendiconti del Circolo Matematico di Palermo Series 2
Mohannad J. S. Shahwan, M. Bin-Saad
semanticscholar   +1 more source

Extending umbral calculus through (q,h)-Appell sequences

Journal of Mathematical Analysis and Applications
Ghazala Yasmin, Sanjeev Kumar
semanticscholar   +1 more source

On λ-Bell polynomials associated with umbral calculus

Russian journal of mathematical physics, 2017
Taekyun Kim, Dae San Kim
semanticscholar   +2 more sources

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