5 citations · 15 across the 11 of their papers we have counts for
11 papers
Energy dissipation in linear viscoelasticity
Juan Luis Gonzalez-Santander, Francesco Mainardi
We compare the specific dissipation for the Becker, Lomnitz, and Lambert models in linear viscoelasticity. Graphically, the specific dissipation of these m…
Pulse waves in the viscoelastic Kelvin-Voigt model: a revisited approach
Juan Luis Gonzalez-Santander, Francesco Mainardi, Andrea Mentrelli
We calculate the mechanical response ) of an initially quiescent semi-infinite homogeneous medium to a pulse applied at the origin, and this is achieved within the framework…
Transient waves in linear dispersive media with dissipation: an approach based on the steepest descent path
Francesco Mainardi, Andrea Mentrelli, Juan Luis Gonza'les Santander
In the study of linear dispersive media it is of primary interest to gain knowledge of the impulse response of the material. The standard approach to compute the response involves…
On the application of a hypergeometric identity to generate generalized hypergeometric reduction formulas
J. L. González-Santander
We systematically exploit a new generalized hypergeometric identity to obtain new hypergeometric summation formulas. As a consistency test, alternative proofs for some special case…
A comparative view of Becker, Lomnitz, and Lambert linear viscoelastic models
Juan Luis Gonzales Santander, Francesco Mainardi
We compare the classical viscoelastic models due to Becker and Lomnitz with respect to a recent viscoelastic model based on the Lambert W function. We take advantage of this compar…
Some fractional integral and derivative formulas revisited
Juan Luis Gonzales-Santander, Francesco Mainardi
In the most common literature about fractional calculus, we find that is assumed implicitly in the tables of frac…
Calculation of the Relaxation Modulus in the Andrade Model by Using the Laplace Transform
Juan Luis González-Santander, Giorgio Spada, Francesco Mainardi +1
In the framework of the theory of linear viscoelasticity, we derive an analytical expression of the relaxation modulus in the Andrade model for the case of…
Sums involving the digamma function connected to the incomplete beta function and the Bessel functions
Juan L. González-Santander, Fernando Sánchez Lasheras
We calculate some infinite sums containing the digamma function in closed-form. These sums are related either to the incomplete beta function or to the Bessel functions. The calcul…
Part 2. Infinite series and logarithmic integrals associated to differentiation with respect to parameters of the Whittaker function
Alexander Apelblat, Juan Luis González-Santander
First derivatives with respect to the parameters of the Whittaker function are calculated. Using the confluent hypergeometric function, these der…
Part 1. Infinite series and logarithmic integrals associated to differentiation with respect to parameters of the Whittaker function
Alexander Apelblat, Juan Luis González-Santander
First derivatives of the Whittaker function with respect to the parameters are calculated. Using the confluent hypergeometric function, these deri…
A note on some reduction formulas for the incomplete beta function and the Lerch transcedent
J. L. González-Santander
We derive new reduction formulas for the incomplete beta function and the Lerch transcendent in terms of elementary functions. As an application, we calculate some new integrals. A…