Applied pseudoanalytic function theory

Pseudoanalytic function theory generalizes and preserves many crucial features of complex analytic function theory. The Cauchy-Riemann system is replaced by a much more general first-order system with variable coefficients which turns out to be closely related to important equations of mathematical...

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Κύριος συγγραφέας: Kravchenko, Vladislav V., 19..-
Μορφή: Livre numérique
Γλώσσα:Anglais
Έκδοση: Basel : Birkhäuser Basel [20..].
Cham : Springer Nature
Έκδοση:1st ed. 2009.
Σειρά:Frontiers in Mathematics
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Σημείωση: Description d'après consultation du 26 mars 2012
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Edition sous un autre format:• Applied pseudoanalytic function theory, Vladislav V. Kravchenko, Basel, Birkhäuser, 2009, 1 vol. (XII-184 p.), Frontiers in mathematics, 978-3-03-460003-3
Πίνακας περιεχομένων:
  • Pseudoanalytic Function Theory and Second-order Elliptic Equations Definitions and Results from Bers Theory Solutions of Second-order Elliptic Equations as Real Components of Complex Pseudoanalytic Functions Formal Powers Cauchy s Integral Formula Complex Riccati Equation Applications to Sturm-Liouville Theory A Representation for Solutions of the Sturm-Liouville Equation Spectral Problems and Darboux Transformation Applications to Real First-order Systems Beltrami Fields Static Maxwell System in Axially Symmetric Inhomogeneous Media Hyperbolic Pseudoanalytic Functions Hyperbolic Numbers and Analytic Functions Hyperbolic Pseudoanalytic Functions Relationship between Hyperbolic Pseudoanalytic Functions and Solutions of the Klein-Gordon Equation Bicomplex and Biquaternionic Pseudoanalytic Functions and Applications The Dirac Equation Complex Second-order Elliptic Equations and Bicomplex Pseudoanalytic Functions Multidimensional Second-order Equations