Results 151 to 160 of about 3,308 (188)
Orthonormal bases and umbral calculus in p-adic analysis
, 2006 Fana Tangara, DIARRA, Bertin
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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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Umbral Calculus in Hilbert Space
1998No abstract.
Di Bucchianico, A. +2 more
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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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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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On conformable fractional calculus
Journal of Computational and Applied Mathematics, 2015Thabet Abdeljawad
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