Basic Exponential and Trigonometric Functions

  • Sergei K. Suslov
Part of the Developments in Mathematics book series (DEVM, volume 9)


In this chapter we shall introduce the basic exponential and basic trigonometric functions as solutions of a difference analog of the equation for harmonic motion on a q-quadratic grid. Some of their elementary properties will be derived in order to form the basis for developing the theory of basic Fourier series and study some of their applications in the subsequent chapters.


Trigonometric Function Polynomial Solution Addition Theorem Difference Analog Power Series Solution 
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Copyright information

© Springer Science+Business Media Dordrecht 2003

Authors and Affiliations

  • Sergei K. Suslov
    • 1
  1. 1.Department of Mathematics and StatisticsArizona State UniversityTempeUSA

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