Titlebook: Complex Analysis; In the Spirit of Lip Rubí E. Rodríguez,Irwin Kra,Jane P. Gilman Textbook 2013Latest edition Springer Science+Business Med

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https://doi.org/10.1007/978-3-642-00342-4 is also known as the M?bius group. In the third section we characterize simply connected proper domains in the complex plane by establishing the Riemann mapping theorem (RMT). This extraordi- nary theorem tells us that there are conformal maps between any two such domains.

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Erfahrungen aus der Hochschullehre,lex-valued integrals of a complex variable over certain paths. Among these integrals are those known as line integrals, complex line integrals, and integrals with respect to arc length. One can then use the integration theory of real variables to obtain an integration theory for complex-valued funct

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0072-5285 de a section on Bers‘s theorem on isomorphisms between rings of holomorphic functions on plane domains; necessary and sufficient conditions for the existence of a bounded analytic function on the disc with pres978-1-4899-9908-5978-1-4419-7323-8Series ISSN 0072-5285 Series E-ISSN 2197-5612

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Power Series,new non-algebraic holomorphic functions, the elementary transcendental functions. It turns out that power series play an even more central role in the theory of holomorphic functions, a role beyond enabling the construction of complex transcendental functions that are the extension of the real trans