Abstract
We have already seen that the complex exponential function ez = ex(cos y + i sin y) is entire, and d(ez)/dz = ez. In this lecture, we shall first provide some further properties of the exponential function, and then define complex trigonometric and hyperbolic functions in terms of ez.
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© 2011 Springer Science+Business Media, LLC
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Agarwal, R.P., Perera, K., Pinelas, S. (2011). Elementary Functions I. In: An Introduction to Complex Analysis. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-0195-7_8
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DOI: https://doi.org/10.1007/978-1-4614-0195-7_8
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Publisher Name: Springer, Boston, MA
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Online ISBN: 978-1-4614-0195-7
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