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Evaluations of some classes of the trigonometric moment integrals
(Journal of Mathematical Analysis and Applications, 2009)
Four classes of the trigonometric moment integrals are evaluated in closed form in a simple and unified manner by making use of the contour integration in conjunction with the Cauchy integral theorem. In all cases, the ...
Summation formulae for finite cotangent sums
(Applied Mathematics and Computation, 2009)
Recently, a half-dozen remarkably general families of the finite trigonometric sums were summed in closed-form by choosing a particularly convenient integration contour and making use of the calculus of residues. In this ...