Neue Darstellung der Kugekfunctionen und der verwandten Functionen durch Determinationen
New generating functions for multivariate biorthogonal polynomials on the -sphere.
New generating functions for the G-function
New quadrature rules for Bernstein measures on the interval .
New recurrence formulae for spherical Bessel's functions
New upper bounds on sphere packings. II.
Nonexistence Results of Solutions of Semilinear Differential Inequalities with Temperal Fractional Derivative on the Heinsenberg Group
2000 Mathematics Subject Classification: 26A33, 33C60, 44A15, 35K55Denoting by Dα0|t the time-fractional derivative of order α (α ∈ (0, 1)) in the sense of Caputo, and by ∆H the Laplacian operator on the (2N + 1) - dimensional Heisenberg group H^N, we prove some nonexistence results for solutions to problems of the type Dα0|tu − ∆H(au) >= |u|^p, Dα0|tu − ∆H(au) >= |v|^p, Dδ0|tv − ∆H(bv) >= |u|^q, in H^N × R+ , with a, b ∈ L ∞ (H^N × R+). For α = 1 (and δ = 1 in the case of two inequalities),...
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 certain results in Bessel function
Note on some characteristic properties of functions of the second kind
Note on the first order orthogonal projections
Notes diverses
Notes on algebraic functions.
Notiz über die Dirichlet'schen Integralausdrücke für die Kugelfunction. Pn (cos ....) und über eine analoge Integralform für die Cylinderfunction J (x)
Notiz über die Herleitung der hypergeometrischen Differentialgleichung.