Campos, Hugo M.; Kravchenko, Vladislav V. Fundamentals of bicomplex pseudoanalytic function theory: Cauchy integral formulas, negative formal powers and Schrödinger equations with complex coefficients. (English) Zbl 1323.30067 Complex Anal. Oper. Theory 7, No. 2, 485-518 (2013). Reviewer: Linda R. Sons (DeKalb) MSC: 30G35 PDFBibTeX XMLCite \textit{H. M. Campos} and \textit{V. V. Kravchenko}, Complex Anal. Oper. Theory 7, No. 2, 485--518 (2013; Zbl 1323.30067) Full Text: DOI arXiv
Campos, Hugo M.; Kravchenko, Vladislav V.; Méndez, Luis M. Complete families of solutions for the Dirac equation using bicomplex function theory and transmutations. (English) Zbl 1257.30051 Adv. Appl. Clifford Algebr. 22, No. 3, 577-594 (2012). MSC: 30G20 30G35 81Q05 PDFBibTeX XMLCite \textit{H. M. Campos} et al., Adv. Appl. Clifford Algebr. 22, No. 3, 577--594 (2012; Zbl 1257.30051) Full Text: DOI arXiv
Castillo Pérez, Raúl; Kravchenko, Vladislav V.; Reséndiz Vázquez, Rabindranath Solution of boundary and eigenvalue problems for second-order elliptic operators in the plane using pseudoanalytic formal powers. (English) Zbl 1210.35054 Math. Methods Appl. Sci. 34, No. 4, 455-468 (2011). MSC: 35J25 35P05 35J10 31A25 30G20 30E25 PDFBibTeX XMLCite \textit{R. Castillo Pérez} et al., Math. Methods Appl. Sci. 34, No. 4, 455--468 (2011; Zbl 1210.35054) Full Text: DOI arXiv
Kravchenko, Viktor G.; Kravchenko, Vladislav V.; Tremblay, Sébastien Zakharov-Shabat system and hyperbolic pseudoanalytic function theory. (English) Zbl 1196.30043 Math. Methods Appl. Sci. 33, No. 4, 448-453 (2010). Reviewer: George Csordas (Honolulu) MSC: 30G20 37K15 PDFBibTeX XMLCite \textit{V. G. Kravchenko} et al., Math. Methods Appl. Sci. 33, No. 4, 448--453 (2010; Zbl 1196.30043) Full Text: DOI arXiv