Document Type
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BL
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Record Number
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691180
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Doc. No
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b513369
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Main Entry
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Kravchenko, Vladislav V.
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Title & Author
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Applied pseudoanalytic function theory /\ Vladislav V. Kravchenko.
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Publication Statement
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Basel ;Boston :: Birkhäuser,, [2009]
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, ©2009
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Series Statement
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Frontiers in mathematics
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Page. NO
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1 online resource (xii, 184 pages) :: illustrations.
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ISBN
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3034600046 (electronic bk.)
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: 9783034600040 (electronic bk.)
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3034600038
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9783034600033
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Notes
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Description based on print version record
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Bibliographies/Indexes
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Includes bibliographical references (pages [173]-181) and index
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Contents
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Introduction -- 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 -- A representation for solutions of the Strum-Liouville equation -- Spectral problems and Darboux transformation -- Beltrami fields -- Static Maxwell systems in axially symmetric inhomogenous media -- Hyperbolic numbers and analytic functions -- Hyperbolic pseudoanalytic functions -- Relationship between hyperbolic pseudoanalytic functions and solutions of the Klein-Gordon equation -- The Dirac equation -- Complex second-order elliptic equations and bicomplex pseudoanalytic functions -- Multidimensional second-order equations
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Subject
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Differential equations, Partial.
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Subject
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Functions of complex variables.
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Dewey Classification
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515/.353
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LC Classification
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QA374.K948 2009eb
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Added Entry
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Ohio Library and Information Network.
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