The triplication formula for Gauss sums.
The truncated exponential polynomials, the associated Hermite forms and applications.
The Weyl fractional operator of a system of polynomials
The zeros of as functions of order.
The zeros of exponential polynomials (I)
Theorem for Series in Three-Parameter Mittag-Leffler Function
Mathematics Subject Classification 2010: 26A33, 33E12.The new result presented here is a theorem involving series in the three-parameter Mittag-Leffler function. As a by-product, we recover some known results and discuss corollaries. As an application, we obtain the solution of a fractional differential equation associated with a RLC electrical circuit in a closed form, in terms of the two-parameter Mittag-Leffler function.
Theorems for double-index one-parameter Bessel functions.
Theorems on the Convergence of Series in Generalized Lommel-Wright Functions
Mathematics Subject Classification: 30B10, 30B30; 33C10, 33C20The classical Cauchy-Hadamard, Abel and Tauber theorems provide useful information on the convergence of the power series in complex plane. In this paper we prove analogous theorems for series in the generalized Lommel-Wright functions with 4 indices. Results for interesting special cases of series involving Bessel, Bessel-Maitland, Lommel and Struve functions, are derived.We provide also a new asymptotic formula for the generalized ...
Theoretical and numerical studies of the DG schemes in one space dimension
We give a proof of the existence of a solution of reconstruction operators used in the DG schemes in one space dimension. Some properties and error estimates of the projection and reconstruction operators are presented. Then, by applying the DG schemes to the linear advection equation, we study their stability obtaining maximal limits of the Courant numbers for several DG schemes mostly experimentally. A numerical study explains how the stencils used in the reconstruction affect the efficiency...
Théorie analytique du logarithme népérien et de la fonction exponentielle
Theorie der elliptischen Functionen [Book]
Théorie des fonctions elliptiques [Book]
Théorie élémentaire des fonctions elliptiques
Théorie élémentaire des fonctions elliptiques
Théorie élémentaire des fonctions elliptiques
Theta functions, elliptic hypergeometric series, and Kawanaka's Macdonald polynomial conjecture.
Three cases of normality of Hessenberg's matrix related with atomic complex distributions.
Three Digit Accurate Multiple Normal Probabilities.
Three open problems and a conjecture
In this paper we solve three open problems and a conjecture related to the calculations of some classes of multiple series posed by Furdui in [1].
Three results in Dunkl analysis
We first establish a geometric Paley-Wiener theorem for the Dunkl transform in the crystallographic case. Next we obtain an optimal bound for the norm of Dunkl translations in dimension 1. Finally, we describe more precisely the support of the distribution associated to Dunkl translations in higher dimension.