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Infinite Series

  • Ole Christensen
  • Khadija L. Christensen
Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Abstract

Motivated by (1.15) at the end of the previous chapter, we wish to define an infinite sum of power functions; however, before we can do so, we need to define an infinite sum of real (or complex) numbers. That is, our first task will be to consider an infinite sequence of numbers a1, a2,..., a n ,..., and examine when and how we can make sense of the sum
$${a_1} + {a_2} + {a_3} + \cdots + {a_n} + \cdots $$
.

Keywords

Power Series Uniform Convergence Series Representation Infinite Series Standard Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Ole Christensen
    • 1
  • Khadija L. Christensen
    • 1
  1. 1.Department of MathematicsTechnical University of DenmarkLyngbyDenmark

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