The order-independence of the polylogarithmic ladder structure - implications for a new category of functional equations.
The polylogarithm in the field of two irreducible quintics.
The -analogue of Hölder’s theorem for the gamma function
The Spectrum of Hill's Equation.
The transcendence of certain quasi-periods associated with abelian functions in two variables
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.
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
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].
Time-Fractional Derivatives in Relaxation Processes: A Tutorial Survey
2000 Mathematics Subject Classification: 26A33, 33E12, 33C60, 44A10, 45K05, 74D05,The aim of this tutorial survey is to revisit the basic theory of relaxation processes governed by linear differential equations of fractional order. The fractional derivatives are intended both in the Rieamann-Liouville sense and in the Caputo sense. After giving a necessary outline of the classica theory of linear viscoelasticity, we contrast these two types of fractiona derivatives in their ability to take into...
Towards finite-gap integration of the Inozemtsev model.
Transcendance de périodes d'intégrales elliptiques
Transcendance et lois de groupes algébriques
Transzendenzeigenschaften von Perioden elliptischer Integrale.
Two-sided bounds for the complete Butzer-Flocke-Hauss Omega function