Probabilistic approach to Appell polynomials

DOI10.1016/j.exmath.2014.07.003zbMath1343.11032arXiv1311.4999OpenAlexW2963623491MaRDI QIDQ491950

Bao Quoc Ta

Publication date: 19 August 2015

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.4999

zbMATH Keywords

Laguerre polynomialsgamma distributionAppell polynomialsBernoulliEulerHermite

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Bernoulli and Euler numbers and polynomials (11B68) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (14)

Unnamed Item ⋮ Binomial convolution and transformations of Appell polynomials ⋮ Appell and Sheffer sequences: on their characterizations through functionals and examples ⋮ Monotone and fast computation of Euler's constant ⋮ Binomial Identities and Moments of Random Variables ⋮ A unified approach to higher order convolutions within a certain subset of Appell polynomials ⋮ Fock and Hardy spaces: Clifford Appell case ⋮ The Fueter-Sce mapping and the Clifford–Appell polynomials ⋮ Probabilistic Bernoulli and Euler polynomials ⋮ RISK MODELS IN INSURANCE AND EPIDEMICS: A BRIDGE THROUGH RANDOMIZED POLYNOMIALS ⋮ Probabilistic degenerate Bell polynomials associated with random variables ⋮ A probabilistic generalization of the Stirling numbers of the second kind ⋮ Image of polynomials under generalized Szász operators ⋮ Wronskian Appell polynomials and symmetric functions

Cites Work

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• A new look at the homogeneous risk model
• Moments of Wiener integrals for subordinators
• Time-space harmonic polynomials relative to a Lévy process
• Stochastic processes and orthogonal polynomials
• A simple expression for the multivariate Hermite polynomials
• Moment representation of Bernoulli polynomial, Euler polynomial and Gegenbauer polynomials
• Fluctuations of Lévy processes with applications. Introductory lectures
• On the Novikov-Shiryaev optimal stopping problems in continuous time
• A note on the generalized Bernoulli and Euler Polynomials
• Optimal stopping, Appell polynomials, and Wiener–Hopf factorization
• The probability of ruin in finite time with discrete claim size distribution
• Problèmes de ruine en théorie du risque à temps discret avec horizon fini
• A Simple Proof of Descartes's Rule of Signs
• A finite-time ruin probability formula for continuous claim severities
• The Sign of the Bernoulli and Euler Numbers
• On an Effective Solution of the Optimal Stopping Problem for Random Walks

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