Apéry's double sum is plain sailing indeed.
Appareil stéréoscopique pour mettre en relief les figures géométriques se rapportant aux fonctions elliptiques
Appell orthogonal polynomials on the unit circle
Application des théorèmes de Minlos et Poincaré à l’étude asymptotique d’une intégrale orbitale
On va étudier le comportement asymptotique d’une intégrale de type intégrale de Itzykson-Zuber et on va donner une formule pour sa limite. On va obtenir ce résultat en utilisant un théorème de Poincaré et un théorème de Minlos.
Application du théorème de M. Mittag-Leffler aux fonctions doublement périodiques de troisième espèce
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
Approximate counting via Euler transform
Approximating poles of complex rational functions.
Approximating real Pochhammer products: a comparison with powers
Accurate estimates of real Pochhammer products, lower (falling) and upper (rising), are presented. Double inequalities comparing the Pochhammer products with powers are given. Several examples showing how to use the established approximations are stated.
Approximation by -Bernstein type operators
Using the -Bernstein basis, we construct a new sequence of positive linear operators in We study its approximation properties and the rate of convergence in terms of modulus of continuity.
Approximation in .
Approximation of elliptic integrals of the third kind for large values of argument and modulus
Approximation of hypergeometric functions with matricial argument through their development in series of zonal polynomials.
Approximation of the dilogarithm function.
Approximation of values of hypergeometric functions by restricted rationals
We compute upper and lower bounds for the approximation of hyperbolic functions at points