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Academic Work |
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[1] |
D. Rochon, Sur
une généralisation des nombres complexes: les tétranombres,
Master Thesis, Université de Montéal, 1997. |
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[2] |
D. Rochon,
Dynamique bicomplexe et théorème de Bloch pour fonctions
hyperholomorphes, Doctoral Thesis, Université de
Montréal, 2001. |
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Book Chapter |
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[1] |
R. Gervais Lavoie & D. Rochon, The Bicomplex
Heisenberg Uncertainty Principle, Quantum Mechanics / Book 1, ISBN
979-953-307-377-3, InTech Book, (To Appear). |
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Articles |
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[1] |
D. Rochon, A
Generalized Mandelbrot Set for Bicomplex Numbers, Fractals
8, No. 4, 355-368 (2000). |
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[2] |
D. Rochon, A
Bloch Constant for Hyperholomorphic Functions, Complex
Variables 44, 85-101 (2001). |
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[3] |
D. Rochon, On
a Generalized Fatou-Julia Theorem, Fractals 11,
No. 3, 213-219 (2003) |
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[4] |
D. Rochon, A Bicomplex Riemann Zeta Function, Tokyo
Journal of Mathematics 27, No. 2, 357-369 (2004). |
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[5] |
D. Rochon & S. Tremblay, Bicomplex Quantum Mechanics I: The Generalized Schrödinger Equation,
Advances in applied Clifford algebras 14,
No. 2, 231-248 (2004). |
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[6] |
D. Rochon & M. Shapiro,
On algebraic properties of bicomplex and hyperbolic numbers,
Anal. Univ. Oradea, fasc. math., vol. 11 , 71-110 (2004). |
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[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). |
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[8] |
D. Rochon & S. Tremblay,
Bicomplex Quantum Mechanics II: The Hilbert Space,
Advances in applied Clifford algebras 16, No.
2, 135-157 (2006). |
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[9] |
D. Rochon,
On a relation of bicomplex pseudoanalytic function theory to the complexified
stationary Schrödinger equation, Complex Variables,
53, No. 6, 501-521 (2008). |
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[10] |
V. V. Kravchenko, D. Rochon & S. Tremblay,
On the Klein-Gordon equation and hyperbolic pseudoanalytic function
theory, J. Phys A: Math. Gen., 41,
No. 6, 1-18 (2008). |
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[11] |
K.S. Charak & D. Rochon, On Factorization of
Bicomplex Meromorphic Functions, Trends in Mathematics, Birkhäuser
Verlag Basel/Switzerland, 55-68 (2008). |
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[12] |
K.S. Charak, D. Rochon & N. Sharma,
Normal Families of Bicomplex Holomorphic Functions, Fractals,
17, No. 3, 257-268 (2009). ---> ArXiv |
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[13] |
V. Garant-Pelletier & D. Rochon,
On a generalized Fatou-Julia theorem in multicomplex spaces, Fractals, 17,
No. 3, 241-255 (2009). |
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[14] |
R. Gervais Lavoie, L. Marchildon & D. Rochon,
The Bicomplex Quantum Harmonic Oscillator, Nuovo Cimento B,
125, No. 10, 1173-1192 (2010). |
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[15] |
R. Gervais Lavoie, L. Marchildon & D. Rochon,
Infinite-Dimensional Bicomplex
Hilbert Spaces, Ann. Funct. Anal, 1,
No. 2, 75-91 (2010). |
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[16] |
R. Gervais Lavoie, L. Marchildon & D. Rochon,
Hilbert Space of the Bicomplex Quantum Harmonic Oscillator,
AIP Conference Proceedings 1327, No. 148, (2011). |
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[17] |
R. Gervais Lavoie, L. Marchildon & D. Rochon,
Finite-Dimensional Bicomplex
Hilbert Spaces, Advances in applied Clifford algebras,
21, No. 3, 561-581 (2011). |
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[18] |
K.S. Charak, D. Rochon & N. Sharma, Normal Families of Bicomplex Meromorphic Functions,
Annales Polonici Mathematici, (To Appear). |
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[19] |
D. Rochon, Ravinder Kumar & K. S. Charak, Bicomplex Riesz-Fisher Theorem, (Submitted). |
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[20] |
Rajeev Kumar, Romesh Kumar & D. Rochon, The
Fundamental Theorems in the framework of Bicomplex Topological Modules,
ArXiv (2011). |
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