Titlebook: Complex Analysis; Serge Lang Textbook 19852nd edition Springer Science+Business Media New York 1985 Analysis.Complex analysis.Meromorphic

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Power Seriesrincipal ways will be by means of power series. Thus we shall see that the series . converges for all . to define a function which is equal to ... Similarly, we shall extend the values of sin . and cos . by their usual series to complex valued functions of a complex variable, and we shall see that t

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Entire and Meromorphic Functionshis chapter we describe such functions more closely. We develop a multiplicative theory for entire functions, giving factorizations for them in terms of their zeros, just as a polynomial factors into linear factors determined by its zeros. We develop an additive theory for meromorphic functions, in

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