Elementary Functions I

  • Ravi P. Agarwal
  • Kanishka Perera
  • Sandra Pinelas
Chapter

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

Sine 

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  • Ravi P. Agarwal
    • 1
  • Kanishka Perera
    • 2
  • Sandra Pinelas
    • 3
  1. 1.Department of MathematicsFlorida Institute of TechnologyMelbourneUSA
  2. 2.Department of Mathematical SciencesFlorida Institute of TechnologyMelbourneUSA
  3. 3.Department of MathematicsAzores UniversityPonta DelgadaPortugal

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