Efficient Stable Ways to Calculate Continued Fraction Coefficients From some Series.
Eigenfunction expansions of functions describing systems with symmetries.
Ein Beitrag zur Theorie der Orthogonalpolynome.
Ein p-adischer Beweis für die Irrationalität der Nullstellen von Besselfunktionen.
Eine arithmetische Eigenschaft der Koeffizienten hypergeometrischer Funktionen mit algebraischen Parametern.
Eine Bemerkung zur Theorie der hypergeometrischen Function
Einfache verallgemeinerte klassische Orthogonalpolynome.
Electrostatic Interpretation and Bounds for the Extreme Zeros of Classical Orthogonal Polynomials
Electrostatics and ghost poles in near best fixed pole rational interpolation.
Elementary spherical functions on symmetric spaces.
Elliptic biorthogonal polynomials connected with Hermite's continued fraction.
Elliptic hypergeometric Laurent biorthogonal polynomials with a dense point spectrum on the unit circle.
Entrelacs toriques itérés et intégrales associées à une courbe plane
Entropy of Hermite polynomials with application to the harmonic oscillator.
Équations aux différences finies, intégrales de fonctions multiformes et polyèdres de Newton
Equiconvergence and equisummability of Jacobi series
2010 Mathematics Subject Classification: 33C45, 40G05.In this paper we give some results concerning the equiconvergence and equisummability of series in Jacobi polynomials.
ERRATA: Inequalities associating hypergeometric functions with planar harmonic mappings.
Errata to the paper: "Construction of the lowest-order recurrence relation for the Jacobi coefficients'' (Zastos, Mat. 17 (1983), pp. 655-675)
Erratum for the paper "On extensions of the Laurent's theorem in the functional calculus with applications to the generation of higer transcendental functions"
Error estimates in the fast multipole method for scattering problems. Part 1 : truncation of the Jacobi-Anger series
We perform a complete study of the truncation error of the Jacobi-Anger series. This series expands every plane wave in terms of spherical harmonics . We consider the truncated series where the summation is performed over the ’s satisfying . We prove that if is large enough, the truncated series gives rise to an error lower than as soon as satisfies where is the Lambert function and are pure positive constants. Numerical experiments show that this asymptotic is optimal. Those results...