77 citations · 535 across the 19 of their papers we have counts for
19 papers
Supersymmetric generalized power functions
Mathieu Ouellet, Sébastien Tremblay
Complex-valued functions defined on a finite interval generalizing power functions of the type for are studied. These functions called -generalized…
On a three-dimensional Riccati differential equation and its symmetries
Charles Papillon, Sébastien Tremblay
A three-dimensional Riccati differential equation of complex quaternion-valued functions is studied. Many properties similar to those of the ordinary differential Riccati equation…
On two-dimensional supersymmetric quantum mechanics, pseudoanalytic functions and transmutation operators
Alex Bilodeau, Sébastien Tremblay
Pseudoanalytic function theory is considered to study a two-dimensional supersymmetric quantum mechanics system. Hamiltonian components of the superhamiltonian are factorized in te…
Wave polynomials, transmutations and Cauchy's problem for the Klein-Gordon equation
Kira V. Khmelnytskaya, Vladislav V. Kravchenko, Sergii M. Torba +1
We prove a completeness result for a class of polynomial solutions of the wave equation called wave polynomials and construct generalized wave polynomials, solutions of the Klein-G…
Complete systems of recursive integrals and Taylor series for solutions of Sturm-Liouville equations
Vladislav V. Kravchenko, Samy Morelos, Sébastien Tremblay
Consider an arbitrary complex-valued, twice continuously differentiable, nonvanishing function defined on a finite segment . Let us introduce an infini…
Spatial pseudoanalytic functions arising from the factorization of linear second order elliptic operators
Vladislav V. Kravchenko, Sébastien Tremblay
Biquaternionic Vekua-type equations arising from the factorization of linear second order elliptic operators are studied. Some concepts from classical pseudoanalytic function theor…