Approximation of values of hypergeometric functions by restricted rationals
We compute upper and lower bounds for the approximation of hyperbolic functions at points
Approximation of by .
Approximation properties of bivariate complex -Bernstein polynomials in the case
In the paper, we discuss convergence properties and Voronovskaja type theorem for bivariate -Bernstein polynomials for a function analytic in the polydisc for arbitrary fixed . We give quantitative Voronovskaja type estimates for the bivariate -Bernstein polynomials for . In the univariate case the similar results were obtained by S. Ostrovska: -Bernstein polynomials and their iterates. J. Approximation Theory 123 (2003), 232–255. and S. G. Gal: Approximation by Complex Bernstein and Convolution...
Approximations rationnelles des valeurs de la fonction Gamma aux rationnels : le cas des puissances
Approximations to -logarithms and -dilogarithms, with applications to -zeta values.
Arbitrary complex powers of the Dirac operator on the hyperbolic unit ball.
ARI/GARI, la dimorphie et l'arithmétique des multizêtas : un premier bilan
Nous tentons, dans ce survol, de présenter une structure méconnue : l'algèbre de Lie ARI et son groupe GARI. Puis nous montrons quels progrès elle a déjà permis de réaliser dans l'étude arithmético-algébrique des valeurs zêta multiples et aussi quelles possibilités elle ouvre pour l'exploration du phénomène plus général de /emph{dimorphie numérique}.
Arithmetic of certain hypergeometric modular forms
Arithmetic of linear forms involving odd zeta values
A general hypergeometric construction of linear forms in (odd) zeta values is presented. The construction allows to recover the records of Rhin and Viola for the irrationality measures of and , as well as to explain Rivoal’s recent result on infiniteness of irrational numbers in the set of odd zeta values, and to prove that at least one of the four numbers , , , and is irrational.
Arithmetische Eigenschaften analytischer Funktionen.
Arrangements of hyperplanes and Lie algebra homology.
Arrangements with one Bounded component and p-adic integrals.
Asymptotic analysis and special values of generalised multiple zeta functions
This is an expository article, based on the talk with the same title, given at the 2011 FASDE II Conference in Będlewo, Poland. In the introduction we define Multiple Zeta Values and certain historical remarks are given. Then we present several results on Multiple Zeta Values and, in particular, we introduce certain meromorphic differential equations associated to their generating function. Finally, we make some conclusive remarks on generalisations of Multiple Zeta Values as well as the meromorphic...
Asymptotic analysis of the Askey-scheme I: from Krawtchouk to Charlier
We analyze the Charlier polynomials C n(χ) and their zeros asymptotically as n → ∞. We obtain asymptotic approximations, using the limit relation between the Krawtchouk and Charlier polynomials, involving some special functions. We give numerical examples showing the accuracy of our formulas.
Asymptotic approximations of integrals: an introduction, with recent developments and applications to orthogonal polynomials.
Asymptotic Expansion of the Power Function of the Two-Sample Binomial Test with and without Randomization.
Asymptotic expansions for ratios of products of gamma functions.
Asymptotic expansions of certain q-series and a formula of Ramanujan for specific values of the Riemann zeta function
Asymptotic ratios of Bessel functions of purely imaginary argument
Asymptotic spectral distributions of distance k-graphs of large-dimensional hypercubes
We derive the asymptotic spectral distribution of the distance k-graph of N-dimensional hypercube as N → ∞.