We prove the existence of reciprocity formulae for sums of the form ∑ m=1 k−1 f ( m k )cot ( π mh k ) where f is a piecewise C¹ function, featuring an alternating phenomenon not visible in the ...

Transformations of Functions This applet will help you in visualizing the effects of transformations on functions. Move the sliders on the right to change the translation and scaling factors.