New generating functions for multivariate biorthogonal polynomials on the -sphere.
New upper bounds on sphere packings. II.
Nonnegative linearization of orthogonal polynomials
Nonparametric estimation of probability density functions based on orthogonal expansions.
Non-standard orthogonality for Meixner polynomials.
Nonsymmetric Koornwinder polynomials and duality.
Normal martingales and polynomial families
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...
Note on certain generating functions for Jacobiand Laguerre polynomials
Note on some characteristic properties of functions of the second kind
Note on the first order orthogonal projections
Number Sequences in an Integral Form with a Generalized Convolution Property and Somos-4 Hankel Determinants
MSC 2010: 11B83, 05A19, 33C45This paper is dealing with the Hankel determinants of the special number sequences given in an integral form. We show that these sequences satisfy a generalized convolution property and the Hankel determinants have the generalized Somos-4 property. Here, we recognize well known number sequences such as: the Fibonacci, Catalan, Motzkin and SchrÄoder sequences, like special cases.
Numerical Integration over a Semi-Infinite Interval, Using the Lognormal Distribution.