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Displaying 941 – 960 of 2026

Non-Leibniz algebras with logarithms do not have the trigonometric identity

D. Przeworska-Rolewicz (2000)

Banach Center Publications

Let X be a Leibniz algebra with unit e, i.e. an algebra with a right invertible linear operator D satisfying the Leibniz condition: D(xy) = xDy + (Dx)y for x,y belonging to the domain of D. If logarithmic mappings exist in X, then cosine and sine elements C(x) and S(x) defined by means of antilogarithmic mappings satisfy the Trigonometric Identity, i.e. ${[C (x)]}^{2} + {[S (x)]}^{2} = e$ whenever x belongs to the domain of these mappings. The following question arises: Do there exist non-Leibniz algebras with logarithms such that...

Nonnegative linearization of orthogonal polynomials

Ryszard Szwarc (1996)

Colloquium Mathematicae

Nonparametric estimation of probability density functions based on orthogonal expansions.

Aldo José Viollaz (1989)

Revista Matemática de la Universidad Complutense de Madrid

Non-standard orthogonality for Meixner polynomials.

Álvarez de Morales, María, Pérez, Teresa E., Piñar, Miguel A., Ronveaux, André (1999)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

Nonsymmetric Koornwinder polynomials and duality.

Sahi, Siddhartha (1999)

Annals of Mathematics. Second Series

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...