Die Polynomlösungen spezieller partieller Differentialgleichungen.
Die Transformationsfunktion für eine Differentialgleichung zweiter Ordnung
Differential equations with 2-term recursion.
Differential operators and spectral distributions of invariant ensembles from the classical orthogonal polynomials: the discrete case.
Differential operators and spectral distributions of invariant ensembles from the classical orthogonal polynomials. The continuous case.
Differential operators of gradient type associated with spherical harmonics
Discrepancy convergence for the Drunkard's walk on the sphere.
Discrete Analogues of the Heisenberg-Weyl Algebra.
Discrete approximation of the solution of the Dirichlet problem by discrete means.
Discrete Laguerre functions and equilibrium conditions.
Discrete orthogonality of Zernike functions.
Dispersive and Strichartz estimates on H-type groups
Our purpose is to generalize the dispersive inequalities for the wave equation on the Heisenberg group, obtained in [1], to H-type groups. On those groups we get optimal time decay for solutions to the wave equation (decay as ) and the Schrödinger equation (decay as ), p being the dimension of the center of the group. As a corollary, we obtain the corresponding Strichartz inequalities for the wave equation, and, assuming that p > 1, for the Schrödinger equation.
Distribution of LRC for testing sphericity of a complex multivariate Gaussian model.
Distributions of truncations of the heat kernel on the complex projective space
Let be a Brownian motion valued in the complex projective space . Using unitary spherical harmonics of homogeneous degree zero, we derive the densities of and of , and express them through Jacobi polynomials in the simplices of and respectively. More generally, the distribution of may be derived using the decomposition of the unitary spherical harmonics under the action of the unitary group yet computations become tedious. We also revisit the approach initiated in [13] and based on...
Dixon's formula and identities involving harmonic numbers.
Dos sistemas adicionales de polinomios relacionados con los polinomios de Pollaczek
Drought models based on Burr XII variables
Burr distributions are some of the most versatile distributions in statistics. In this paper, a drought application is described by deriving the exact distributions of U = XY and W = X/(X+Y) when X and Y are independent Burr XII random variables. Drought data from the State of Nebraska are used.
Dual series equations involving generalized Laguerre polynomials.
Dunkl operators
Dunkl operators and canonical invariants of reflection groups.