Titlebook: Complex Analysis; In the Spirit of Lip Jane P. Gilman,Irwin Kra,Rubí E. Rodríguez Textbook 20071st edition Springer-Verlag New York 2007 Co

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Conformal Equivalence,l simply connected domains in the complex plane. The first two sections of this chapter study the action of a quotient of the group of two-by-two nonsingular complex matrices on the extended complex plane

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Harmonic Functions,ts of a holomorphic function are harmonic functions. The study of harmonic functions is important in physics and engineering, and there are many results in the theory of harmonic functions that are not connected directly with complex analysis. However, in this chapter we consider that part of the th

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Zeros of Holomorphic Functions, own names. These functions are, of course, ones that develop naturally and repeatedly in various mathematical settings. Examples of such . functions include Euler’s Г-function, the Riemann ζ-function, and the Euler Φ-function. We will study only the first of these functions. There is a long history

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Textbook 20071st editionenerations of practicing mathematicians working in a number of di?erent ?elds, the basic - sults have been developed and redeveloped from a number of di?erent perspectives. We are not wedded to any one viewpoint. Rather we will try to exploit the richness of the subject and explain and interpret sta