Elementary Functions I

Ravi P. Agarwal (), Kanishka Perera () and Sandra Pinelas ()
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Ravi P. Agarwal: Florida Institute of Technology, Department of Mathematics
Kanishka Perera: Florida Institute of Technology, Department of Mathematical Sciences
Sandra Pinelas: Azores University, Department of Mathematics

Chapter Lecture 8 in An Introduction to Complex Analysis, 2011, pp 52-56 from Springer

Abstract: 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.

Keywords: Imaginary Part; Complex Number; Exponential Function; Complex Plane; Entire Function (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/978-1-4614-0195-7_8

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