Titlebook: Explorations in Complex Functions; Richard Beals,Roderick S. C. Wong Textbook 2020 Springer Nature Switzerland AG 2020 Complex analysis te

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,Automorphic functions and Picard’s theorem,This chapter relies heavily on Chapter ., with some reference to analytic continuation and conformal mapping, particularly Theorem ..

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Integral transforms,The Cauchy integral formula gives the value at . of a function . that is holomorphic in a domain that contains . and is continuous on the boundary .. This formula can be considered as a particular case of an integral transform that takes a given function . defined on a complex curve . to the function.

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Explorations in Complex Functions978-3-030-54533-8Series ISSN 0072-5285 Series E-ISSN 2197-5612

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Graduate Texts in Mathematicshttp://image.papertrans.cn/e/image/319406.jpg

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https://doi.org/10.1007/978-981-15-8143-4ingularities, residues, and the complex logarithm. Also included are three topics that are not as standard for an elementary course, but are used in many of the following chapters: reflection properties, infinite products, and analytic continuation. For all this material we give brief discussions and sketches of proofs.

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https://doi.org/10.1007/978-3-658-42348-3s in complex analysis, and in its applications to geometry and algebra. Of particular importance are the transformations that map the upper half-plane to itself, and the transformations that map the unit disk to itself.

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Medical Manpower Planning in Swedenithmic derivative . of .. Here we show that the Schwarzian derivative is a natural object: a measure of the “curvature” of ., the pointwise deviation from a best approximation of . by a linear fractional transformation.