activity
19952020
most citedAbel ODEs: Equivalence and Integrable Classes

59 citations · 278 across the 17 of their papers we have counts for

collaborators

17 papers

cs.SC2020★ 2 cited

Computer Algebra in Physics: The hidden SO(4) symmetry of the hydrogen atom

Pascal Szriftgiser, Edgardo S. Cheb-Terrab

Pauli first noticed the hidden SO(4) symmetry for the Hydrogen atom in the early stages of quantum mechanics [1]. Departing from that symmetry, one can recover the spectrum of a sp…

cs.SC2013★ 7 cited

Branch Cuts in Maple 17

M. England, E. Cheb-Terrab, R. Bradford +2

Accurate and comprehensible knowledge about the position of branch cuts is essential for correctly working with multi-valued functions, such as the square root and logarithm. We di…

math.CA2008★ 7 cited

Hypergeometric solutions for third order linear ODEs

Edgardo S. Cheb-Terrab, Austin D. Roche

In this paper we present a decision procedure for computing pFq hypergeometric solutions for third order linear ODEs, that is, solutions for the classes of hypergeometric equations…

math-ph2004★ 50 cited

Solutions for the General, Confluent and Biconfluent Heun equations and their connection with Abel equations

E. S. Cheb-Terrab

In a recent paper, the canonical forms of a new multi-parameter class of Abel differential equations, so-called AIR, all of whose members can be mapped into Riccati equations, were…

math-ph2004★ 2 cited

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…

math-ph2004★ 3 cited

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…