| |
Academic Work |
| |
1) |
D. Rochon, Sur
une généralisation des nombres complexes: les tétranombres,
Master Thesis, Université de Montéal, 1997. |
| |
2) |
D. Rochon,
Dynamique bicomplexe et théorème de Bloch pour fonctions hyperholomorphes , Doctoral Thesis, Université
de Montréal, 2001. |
|
Articles |
| |
1) |
D. Rochon, A
Generalized Mandelbrot Set for Bicomplex Numbers, Fractals
8, No. 4, 355-368 (2000). |
| |
2) |
D. Rochon, A
Bloch Constant for Hyperholomorphic Functions, Complex
Variables 44, 85-101 (2001). |
| |
3) |
D. Rochon, On
a Generalized Fatou-Julia Theorem, Fractals 11,
No. 3, 213-219 (2003) |
| |
4) |
D. Rochon, A Bicomplex Riemann Zeta Function, Tokyo
Journal of Mathematics 27, No. 2, 357-369 (2004). |
| |
5) |
D. Rochon & S. Tremblay,
Bicomplex Quantum Mechanics I: The Generalized Schrödinger Equation,
Advances in applied Clifford algebras 14,
No. 2, 231-248 (2004). |
| |
6) |
D. Rochon & M. Shapiro,
On algebraic properties of bicomplex and hyperbolic numbers ,
Anal. Univ. Oradea, fasc. math., vol. 11
(2004). |
| |
7) |
É. Martineau & D. Rochon, On a Bicomplex
Distance Estimation for the Tetrabrot, International Journal of
Bifurcation and Chaos, 15, No. 9, 1-12 (2005). |
| |
8) |
D. Rochon & S. Tremblay,
Bicomplex Quantum Mechanics II: The Hilbert Space,
Advances in applied Clifford algebras 16, No.
2, 135-157 (2006). |
| |
9) |
D. Rochon,
On a relation of bicomplex pseudoanalytic function theory to the complexified
stationary Schrödinger equation , Complex Variables,
(to appear). |
| |
10) |
V. V. Kravchenko, D. Rochon & S. Tremblay,
On the Klein-Gordon equation and hyperbolic pseudoanalytic function
theory , J. Phys A: Math. Gen., (to appear). |
|