J. González-Santander

collaborators

3 papers

math.CA2025

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…

math.CA2018

On the $n$ -th derivative and the fractional integration of Bessel functions with respect to the order

J. L. González-Santander

We obtain integral representations of the $n$ -th derivatives of the Bessel functions with respect to the order. The numerical evaluation of these expressions is very efficient usin…

math.CA2018

Recursive formulas for $_{2} F_{1}$ and $_{3} F_{2}$ hypergeometric series

J. L. González-Santander

Recursive formulas extending some known $_{2} F_{1}$ and $_{3} F_{2}$ summation formulas by using contiguous relations have been obtained. On the one hand, these recursive equations…

Analytical closed-form solution of the Bagley-Torvik equation

On the n-th derivative and the fractional integration of Bessel functions with respect to the order

Recursive formulas for 2​F1​ and 3​F2​ hypergeometric series

On the $n$ -th derivative and the fractional integration of Bessel functions with respect to the order

Recursive formulas for $_{2} F_{1}$ and $_{3} F_{2}$ hypergeometric series