Summations on trigonometric functions

  • Authors:

  • Wen-Chang Chu

  • Affiliations:

  • College of Advanced Science and Technology, Dalian University of Technology, Dalian 116024, PR China and Dipartimento di Matematica, Università degli Studi di Lecce, Lecce-Arnesano, P.O. Box ...

  • Venue:
  • Applied Mathematics and Computation - Special issue: Advanced special functions and related topics in differential equations, third Melfi workshop, proceedings of the Melfi school on advanced topics in mathematics and physics
  • Year:
  • 2003

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Abstract

A brief maple program of one sentence is designed to compute some striking summations of trigonometric functions. Then our human imagination figures out the generating functions by means of formal power series and binomial convolution, which are confirmed through partial fraction expansions on trigonometric polynomials. Some related trigonometric sums are treated as consequences.