14 citations · 28 across the 8 of their papers we have counts for
8 papers
Delta-pulse solution in Zener viscoelastic model
Andrea Mentrelli, Juan Luis Gonzalez-Santander, Francesco Mainardi
We derive the integral representation of the solution for the propagation of a delta-pulse (impulsive wave) in a semi-infinite, homogeneous, linear viscoelastic medium governed by…
Analytical closed-form solution of the Bagley-Torvik equation
Juan Luis González-Santander, Alexander Apelblat
We calculate the solution of the Bagley-Torvik equation for arbitrary initial conditions and arbitrary external force as the sum of two terms. The first one is a linear combination…
Finite and infinite hypergeometric sums involving the digamma function
Juan L. González-Santander
We calculate some finite and infinite sums containing the digamma function in closed-form. For this purpose, we differentiate selected reduction formulas of the hypergeometric func…
The integral Mittag-Leffler, Whittaker and Wright functions
Alexander Apelblat, Juan Luis González-Santander
Integral Mittag-Leffler, Whittaker and Wright functions with integrands similar to those which already exist in mathematical literature are introduced for the first time. For parti…
A note on some identities involving special functions from the hypergeometric solution of algebraic equations
J. L. González-Santander
From the algebraic solution of for and the corresponding solution in terms of hypergeometric functions, we obtain a set of reduction formulas for hypergeome…
On the -th derivative and the fractional integration of Bessel functions with respect to the order
J. L. González-Santander
We obtain integral representations of the -th derivatives of the Bessel functions with respect to the order. The numerical evaluation of these expressions is very efficient usin…
Recursive formulas for and hypergeometric series
J. L. González-Santander
Recursive formulas extending some known and summation formulas by using contiguous relations have been obtained. On the one hand, these recursive equations…
Closed form expressions for derivatives of Bessel functions with respect to the order
J. L. González-Santander
We have used recent integral representations of the derivatives of the Bessel functions with respect to the order to obtain closed-form expressions in terms of generalized hypergeo…