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Article(3)
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Complex Analysis and Operator Theory(1)
Complex Variables and Elliptic Equations(1)
Journal of Mathematical Analysis and Applications(1)
Construction and application of Bergman-type reproducing kernels for boundary and eigenvalue problems in the plane
ArticleAbstract: We show how the Bergman-type reproducing kernels for the elliptic operator D = div p grad + q with vPalabras claves:Bergman kernel, generalized analytic function, pseudoanalytic function, reproducing kernel, Schrödinger equationAutores:Hugo M. Campos, Kravchenko V.V., Perez R.Fuentes:googlescopusFundamentals of Bicomplex Pseudoanalytic Function Theory: Cauchy Integral Formulas, Negative Formal Powers and Schrödinger Equations with Complex Coefficients
ArticleAbstract: The study of the Dirac system and second-order elliptic equations with complex-valued coefficients oPalabras claves:Bicomplex number, Cauchy integral formula, Formal power, pseudoanalytic function, Schrödinger equation, Vekua equationAutores:Hugo M. Campos, Kravchenko V.V.Fuentes:googlescopusTransmutations, L-bases and complete families of solutions of the stationary Schrödinger equation in the plane
ArticleAbstract: An L-basis associated to a linear second-order ordinary differential operator L is an infinite sequePalabras claves:Bicomplex number, pseudoanalytic function, Runge approximation theorem, Runge property, Stationary Schrödinger equation, Sturm-Liouville operator, Transformation operator, Transmutation, Vekua equationAutores:Hugo M. Campos, Kravchenko V.V., Torba S.M.Fuentes:googlescopus