Some new sums of -trigonometric and related functions through a theta product of Jacobi
arXiv:1806.03415
Abstract
We evaluate some finite and infinite sums involving -trigonometric and -digamma functions. Upon letting approach , one obtains corresponding sums for the classical trigonometric and the digamma functions. Our key argument is a theta product formula of Jacobi and Gosper's -trigonometric identities.
12 pages, submitted