3 citations · 5 across the 2 of their papers we have counts for
4 papers · 1 filter
A connection between Abel and pFq hypergeometric differential equations
E. S. Cheb-Terrab
In a recent paper, a new 3-parameter class of Abel type equations, so-called AIR, all of whose members can be mapped into Riccati equations, is shown. Most of the Abel equations wi…
Non-Liouvillian solutions for second order linear ODEs
L. Chan, E. S. Cheb-Terrab
There exist sound literature and algorithms for computing Liouvillian solutions for the important problem of linear ODEs with rational coefficients. Taking as sample the 363 second…
First order ODEs, Symmetries and Linear Transformations
E. S. Cheb-Terrab, T. Kolokolnikov
An algorithm for solving first order ODEs, by systematically determining symmetries of the form [ xi = F(x), eta = P(x) y + Q(x) ], where xi d/dx + eta d/dy is the symmetry generat…
Integrating factors for second order ODEs
E. S. Cheb-Terrab, A. D. Roche
A systematic algorithm for building integrating factors of the form mu(x,y), mu(x,y') or mu(y,y') for second order ODEs is presented. The algorithm can determine the existence and…