Apéry's double sum is plain sailing indeed.
Schneider, Carsten (2007)
The Electronic Journal of Combinatorics [electronic only]
A. G. Greenhill (1901)
Bulletin de la Société Mathématique de France
Marcellán Espanol, Francisco, Tasis Montes, Carmen (1993)
Portugaliae mathematica
Mohamed Bouali (2007)
Annales de la faculté des sciences de Toulouse Mathématiques
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.
P. Appell (1885)
Annales scientifiques de l'École Normale Supérieure
Ladislav Truksa (1930)
Aktuárské vědy
R. N. Kalia, G. Rosenberger (1980)
Matematički Vesnik
H. M. Srivastava (1991)
Annales Polonici Mathematici
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.
Mishra, A. K., Gochhayat, P. (2006)
Fractional Calculus and Applied Analysis
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.*...
Xiaoyuan Wang, Wenchang Chu (2018)
Communications in Mathematics
The -derivative operator approach is illustrated by reviewing several typical summation formulae of terminating basic hypergeometric series.
Daniel Duverney (1994)
Bulletin de la Société Mathématique de France
Helmut Prodinger (1994)
Mathematica Slovaca
Lócsi, Levente (2009)
Acta Universitatis Sapientiae. Mathematica
Vito Lampret (2009)
Open Mathematics
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.
Zoltán Finta (2011)
Czechoslovak Mathematical Journal
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.
Levenberg, Norm (2006)
Surveys in Approximation Theory (SAT)[electronic only]
J. Krużelecki, M. Życzkowski (1978)
Applicationes Mathematicae
Gutiérrez, R., Rodriguez, J., Sáez, A.J. (2000)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Hassani, Mehdi (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Carsten Elsner, Takao Komatsu, Iekata Shiokawa (2007)
Journal de Théorie des Nombres de Bordeaux
We compute upper and lower bounds for the approximation of hyperbolic functions at points