Application of Bessel coefficients in approximative expressing of collectives
Application of two forms of generalized Taylor' theorem to Fox's H-function
Applications of certain linear operators in the theory of analytic functions
The object of the present paper is to illustrate the usefulness, in the theory of analytic functions, of various linear operators which are defined in terms of (for example) fractional derivatives and fractional integrals, Hadamard product or convolution, and so on.
Applications of the Owa-Srivastava Operator to the Class of K-Uniformly Convex Functions
2000 Mathematics Subject Classification: Primary 30C45, 26A33; Secondary 33C15By making use of the fractional differential operator Ω^λz (0 ≤ λ < 1) due to Owa and Srivastava, a new subclass of univalent functions denoted by k−SPλ (0 ≤ k < ∞) is introduced. The class k−SPλ unifies the concepts of k-uniformly convex functions and k-starlike functions. Certain basic properties of k − SPλ such as inclusion theorem, subordination theorem, growth theorem and class preserving transforms are studied.*...
Approach of -Derivative Operators to Terminating -Series Formulae
The -derivative operator approach is illustrated by reviewing several typical summation formulae of terminating basic hypergeometric series.
Approximants de Padé et -dérivation
Approximation in .
Approximation of hypergeometric functions with matricial argument through their development in series of zonal polynomials.
Approximation of values of hypergeometric functions by restricted rationals
We compute upper and lower bounds for the approximation of hyperbolic functions at points
Arbitrary complex powers of the Dirac operator on the hyperbolic unit ball.
Arithmetic of certain hypergeometric modular forms
Arrangements of hyperplanes and Lie algebra homology.
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 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 → ∞.
Asymptotically minimax estimation of order-constrained parameters and eigenfunctions of the laplacian on the ball