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 Definition of Logarithms.
On the Definitions of the Trigonometric Functions [Book]
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 double ...-functions.
On the dual of a Commutative signed Hypergroup.
On the Dynamic Behaviour of Chebyshev Polynomials.
On the evaluation of Euler sums.
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.
On the Faraut-Koranyi hypergeometric functions in rank two
We give a complete description of the boundary behaviour of the generalized hypergeometric functions, introduced by Faraut and Koranyi, on Cartan domains of rank 2. The main tool is a new integral representation for some spherical polynomials, which may be of independent interest.