On the characteristic equation of Chebyshev matrices.
On the closed-form solution of the improved labor augmented Solow-Swan model.
On the composition structure of the twisted Verma modules for
We discuss some aspects of the composition structure of twisted Verma modules for the Lie algebra , including the explicit structure of singular vectors for both and one of its Lie subalgebras , and also of their generators. Our analysis is based on the use of partial Fourier tranform applied to the realization of twisted Verma modules as -modules on the Schubert cells in the full flag manifold for .
On the compound Poisson-gamma distribution
The compound Poisson-gamma variable is the sum of a random sample from a gamma distribution with sample size an independent Poisson random variable. It has received wide ranging applications. In this note, we give an account of its mathematical properties including estimation procedures by the methods of moments and maximum likelihood. Most of the properties given are hitherto unknown.
On the computation of Aden functions
The paper deals with the computation of Aden functions. It gives estimates of errors for the computation of Aden functions by downward reccurence.
On the computation of Riccati-Bessel functions
The paper deals with the computation of Riccati-Bessel functions. A modification of Miller method is presented together with estimates of relative errors.
On the computation of zeros and turning points of Bessel functions
On the convergence domains of hypergeometric series in several variables.
On the convergence of generalized polynomial chaos expansions
A number of approaches for discretizing partial differential equations with random data are based on generalized polynomial chaos expansions of random variables. These constitute generalizations of the polynomial chaos expansions introduced by Norbert Wiener to expansions in polynomials orthogonal with respect to non-Gaussian probability measures. We present conditions on such measures which imply mean-square convergence of generalized polynomial chaos expansions to the correct limit and complement...
On the convergence of generalized polynomial chaos expansions
A number of approaches for discretizing partial differential equations with random data are based on generalized polynomial chaos expansions of random variables. These constitute generalizations of the polynomial chaos expansions introduced by Norbert Wiener to expansions in polynomials orthogonal with respect to non-Gaussian probability measures. We present conditions on such measures which imply mean-square convergence of generalized polynomial...
On the convergence of the stochastic Galerkin method for random elliptic partial differential equations
In this article we consider elliptic partial differential equations with random coefficients and/or random forcing terms. In the current treatment of such problems by stochastic Galerkin methods it is standard to assume that the random diffusion coefficient is bounded by positive deterministic constants or modeled as lognormal random field. In contrast, we make the significantly weaker assumption that the non-negative random coefficients can be bounded strictly away from zero and infinity by random...
On the decay properties of the Franklin analyzing wavelet
On the derivatives of Bernstein polynomials: an application for the solution of high even-order differential equations.
On the determinant of Gauss-Manin connections and hypergeometric functions of hypersurfaces.
On the determination of the Plancherel measure for Lebedev-Whittaker transforms on GL(n)
On the distributional orthogonality of the general Pollaczek polynomials.
On the dual of a Commutative signed Hypergroup.
On the Dynamic Behaviour of Chebyshev Polynomials.
On the exact distribution of L1(vc) of Votaw.
This paper deals with the exact distribution of L1(vc) of Votaw. The results are given in terms of Meijer's G-function as well as in series form suitable for computation of percentage points.
On the expansion of a function in terms of spherical harmonics in arbitrary dimensions.