Results 51 to 60 of about 1,282 (191)
A New Generating Function for Hermite Polynomials
International Journal of Mathematics and Mathematical SciencesThis paper presents a new generating function of the form gx,t=∑n=0∞tnHnex for Hermite polynomials and reveals its connection with the incomplete gamma function.
Manouchehr Amiri
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Mathematics, 2015 The connection problem for orthogonal polynomials is, given a polynomial expressed in the basis of one set of orthogonal polynomials, computing the coefficients with respect to a different set of orthogonal polynomials.
Tom Bella, Jenna Reis
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Longevity, Health, and Housing Risk Management in Retirement
The Journal of Finance, EarlyView.ABSTRACT Annuities, long‐term care insurance, and reverse mortgages remain puzzlingly unpopular to manage post‐retirement longevity, health, and housing price risks. We use a flexible life‐cycle model structurally estimated with a unique stated‐preference survey experiment of Canadian households to understand why. Key factors include high risk aversion,
PIERRE‐CARL MICHAUD, PASCAL ST‐AMOUR
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Journal of Sleep Research, Volume 34, Issue 2, April 2025.Summary The autonomic nervous system regulates cardiovascular activity during sleep, likely impacting cardiovascular health. Aging, a primary cardiovascular risk factor, is associated with cardiac autonomic disbalance and diminished sleep slow waves. Therefore, slow waves may be linked to aging, autonomic activity and cardiovascular health. However, it
Stephanie Huwiler +5 more
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On a class of Humbert-Hermite polynomials
Novi Sad Journal of Mathematics, 2019 A unified presentation of a class of Humbert’s polynomials in two variables which generalizes the well known class of Gegenbauer, Humbert, Legendre, Chebycheff, Pincherle, Horadam, Kinnsy, Horadam-Pethe, Djordjević , Gould, Milovanović and Djordjević, Pathan and Khan polynomials and many not so called ’named’ polynomials ...
M. A Pathan, Waseem Khan
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Reinforcement Learning for Jump‐Diffusions, With Financial Applications
Mathematical Finance, EarlyView.ABSTRACT We study continuous‐time reinforcement learning (RL) for stochastic control in which system dynamics are governed by jump‐diffusion processes. We formulate an entropy‐regularized exploratory control problem with stochastic policies to capture the exploration–exploitation balance essential for RL.
Xuefeng Gao, Lingfei Li, Xun Yu Zhou
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Some Identities on Bernoulli and Hermite Polynomials Associated with Jacobi Polynomials
Discrete Dynamics in Nature and Society, 2012 We investigate some identities on the Bernoulli and the Hermite polynomials arising from the orthogonality of Jacobi polynomials in the inner product space Pn.
Taekyun Kim +2 more
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Restoration Ecology, EarlyView.Abstract Introduction Tidal wetland restoration is widely used to recover ecosystem function in modified estuaries, yet uncertainty remains about how quickly wildlife communities respond. Early trajectories are central to evaluating restoration success, guiding adaptive management, and building ecosystem resilience in engineered landscapes. Marsh birds
Jason Riggio +6 more
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An Alternative Definition of the Hermite Polynomials Related to the Dunkl Laplacian
Symmetry, Integrability and Geometry: Methods and Applications, 2008 We introduce the so-called Clifford-Hermite polynomials in the framework of Dunkl operators, based on the theory of Clifford analysis. Several properties of these polynomials are obtained, such as a Rodrigues formula, a differential equation and an ...
Hendrik De Bie
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A Hermite Polynomial Approach for Solving the SIR Model of Epidemics
Mathematics, 2018 In this paper, the problem of the spread of a non-fatal disease in a population is solved by using the Hermite collocation method. Mathematical modeling of the problem corresponds to a three-dimensional system of nonlinear ODEs.
Aydin Secer +2 more
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