Abstract
We have already seen three amazing results on the convergence of sequences of holomorphic functions [5.38(iv), 5.45(iii) and 5.74] which have no analog for differentiate functions on the line. In this chapter we want to explore this theme more thoroughly. We naturally start with a convenient definition.
An erratum to this chapter is available at http://dx.doi.org/10.1007/978-3-0348-9374-9_17
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© 1979 Birkhäuser Verlag Basel
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Burckel, R.B. (1979). Convergent Sequences of Holomorphic Functions. In: An Introduction to Classical Complex Analysis. Mathematische Reihe, vol 64. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9374-9_8
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DOI: https://doi.org/10.1007/978-3-0348-9374-9_8
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9376-3
Online ISBN: 978-3-0348-9374-9
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