Trigonometric sums and summation formulas have long served as essential tools for elucidating periodic phenomena across mathematics and the physical sciences. These techniques entail the explicit ...

This is a preview. Log in through your library . Abstract Using symbolic manipulation programs, William Gosper has obtained in the last two years new, but unusual, summation formulae involving ...

Using the q-trigonometric definitions of Gosper, we devise a new q-exponential function. Based on this concept, we derive a number of identities involving the Jacobi theta functions. These ...