Abstract
In this chapter we will prove Runge’s Theorem, use it to prove a more general form of Cauchy’s Theorem, and investigate simple connectedness. Also proved is a Theorem of Mittag-Leffler on the existence of meromorphic functions with prescribed poles and singular parts.
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© 1973 Springer-Verlag New York Inc.
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Conway, J.B. (1973). Runge’s Theorem. In: Functions of One Complex Variable. Graduate Texts in Mathematics, vol 11. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-9972-2_8
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DOI: https://doi.org/10.1007/978-1-4615-9972-2_8
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-90062-9
Online ISBN: 978-1-4615-9972-2
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