Complete Families of Solutions for the Dirac Equation Using Bicomplex Function Theory and Transmutations

Author:

Campos Hugo M.,Kravchenko Vladislav V.,Méndez Luis M.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference28 articles.

1. H. Begehr and R. Gilbert, Transformations, Transmutations and Kernel Functions. Vol. 1-2. Longman, Pitman, Harlow, 1992.

2. Bers L.: Theory of Pseudo-Analytic Functions. New York University, New York (1952)

3. Bers L.: The Expansion Theorem for Sigma-Monogenic Functions. American Journal of Mathematics 72, 705–712 (1950)

4. J. Bjorken and S. Drell, 1998 Relativistic Quantum Mechanics. The McGraw-Hill Companies, Inc., NY, 1998.

5. H. Campos, R. Castillo, and V. V. Kravchenko, Construction and Application of Bergman-Type Reproducing Kernels for Boundary and Eigenvalue Problems in the Plane. Complex Variables and Elliptic Equations (2012), Printed online, DOI: 10.1080/17476933.2011.611941 .

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