Results 161 to 170 of about 157,023 (195)
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Symmetric q-extension of $$\lambda $$ λ -Apostol–Euler polynomials via umbral calculus
Indian journal of pure and applied mathematics, 2022H. Elmonser
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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.
A. Di Bucchianico, D.E. Loeb
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Rota?s umbral calculus and recursions
Algebra Universalis, 2003Umbral Calculus can provide exact solutions to a wide range of linear recursions. We summarize the relevant theory and give a variety of examples from combinatorics in one, two and three variables.
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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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The umbral calculus and orthogonal polynomials
Acta Applicandae Mathematicae, 1990We determine all orthogonal polynomials having Boas-Buck generating functions g(t)Ψ(xf(t)), where % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr ...
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On λ-Bell polynomials associated with umbral calculus
Russian journal of mathematical physics, 2017Taekyun Kim, Dae San Kim
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Some identities of extended degenerate r-central Bell polynomials arising from umbral calculus
RACSAM, 2019Taekyun Kim, Dae San Kim
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Beyond food: The multiple pathways for inclusion of materials into ancient dental calculus
American Journal of Physical Anthropology, 2017Anita Radini +2 more
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