Motzkin numbers, central trinomial coefficients and hybrid polynomials.
Muliere and Scarsini's bivariate Pareto distribution: sums, products and ratios.
We derive the exact distributions of R = X + Y, P = X Y and W = X / (X + Y) and the corresponding moment properties when X and Y follow Muliere and Scarsini's bivariate Pareto distribution. The expressions turn out to involve special functions. We also provide extensive tabulations of the percentage points associated with the distributions. These tables -obtained using intensive computer power- will be of use to the practitioners of the bivariate Pareto distribution.
Multidimensional Heisenberg convolutions and product formulas for multivariate Laguerre polynomials
Let p,q be positive integers. The groups and act on the Heisenberg group canonically as groups of automorphisms, where is the vector space of all complex p × q matrices. The associated orbit spaces may be identified with and respectively, being the cone of positive semidefinite matrices and the Weyl chamber . In this paper we compute the associated convolutions on and explicitly, depending on p. Moreover, we extend these convolutions by analytic continuation to series of convolution...
Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations
Multiple integrals and Fourier series expansions associated with hypergeometric polynomials
Multiple Series Relations Involving Hermite Polynomials
Multiple-scale analysis for Painlevé transcendents with a large parameter
Multipliers of Laplace transform type for Laguerre and Hermite expansions
We present a new criterion for the weighted boundedness of multiplier operators for Laguerre and Hermite expansions that arise from a Laplace-Stieltjes transform. As a special case, we recover known results on weighted estimates for Laguerre and Hermite fractional integrals with a unified and simpler approach.
Multivariate generalization of the confluent hypergeometric function kind 1 distribution.
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.