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Normal martingales and polynomial families

H. Hammouch (2004)

Annales Polonici Mathematici

Wiener and compensated Poisson processes, as normal martingales, are associated to classical sequences of polynomials, namely Hermite polynomials for the first one and Charlier polynomials for the second. The problem studied in this paper is to find if there exist other normal martingales which are associated to classical sequences of polynomials. Privault, Solé and Vives [5] solved this problem via the quantum Kabanov formula under some assumptions on the normal martingales considered. We solve...

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Displaying 21 – 40 of 50

Normal martingales and polynomial families

Note de trigonométrie élémentaire

Note on an inequality involving ${(n!)}^{1 / n}$ .

Note on certain generating functions for Jacobiand Laguerre polynomials

Note on certain results in Bessel function

Note on Kiepert's -L-equations, in the Transformation of Elliptic Functions

Note on $q$ -extensions of Euler numbers and polynomials of higher order.

Note on $q$ -Nasybullin's lemma associated with the modified $p$ -adic $q$ -Euler measure.

Note on some characteristic properties of functions of the second kind

Note on the Definitions of Logarithm and Exponential.

Note on the first order orthogonal projections

Note on the $q$ -extension of Barnes' type multiple Euler polynomials.

Note on the theory of Elliptic Integrals

Note sur le calcul approché par la méthode de Poncelet des radicaux de la forme $\sqrt{x^{2} - y^{2}}$

Note sur le nombre e

Note sur le nombre e

Note sur les approximations dans le calcul logarithmique

Note sur quelques intégrales pseudo-elliptiques

Note sur une formule de Gauss

Notes diverses

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