Elementary Functions I

  • Ravi P. Agarwal
  • Kanishka Perera
  • Sandra Pinelas


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.


Imaginary Part Complex Number Exponential Function Complex Plane Entire Function 
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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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