On the Use of the Discovered Factors to Sum Infinite Series

  • Lennart Berggren
  • Jonathan Borwein
  • Peter Borwein

Abstract

If , then these factors, whether they be finite or infinite in number, must produce the expression , when they are actually multiplied. It follows then that the coefficient A is equal to the sum . The coefficient B is equal to the sum of the products taken two at a time. Hence . Also the coefficient C is equal to the sum of products taken three at a time, namely . We also have D as the sum of products taken four at a time, and E is the sum of products taken five at a time, etc. All of this is clear from ordinary algebra.

Keywords

Sine 

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Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Lennart Berggren
    • 1
  • Jonathan Borwein
    • 1
  • Peter Borwein
    • 1
  1. 1.Department of Mathematics and StatisticsSimon Fraser UniversityBurnabyCanada

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