A note derives closed formulas using contour integration for generalized double series involving special functions, indicating broader applications.
By employing contour integration the derivation of a generalized double finite series involving the Hurwitz-Lerch zeta function is used to derive closed form formulae in terms of special functions. We use this procedure to find special cases of the summation and product formulae in terms of the Hurwitz-Lerch zeta function, trigonometric functions and the gamma function. A short table of quotient gamma functions and plots are produced for easy reading by interested readers.
No takes yet. Share an insight, caveat, or question.
Robert Reynolds (2026) studied this question.
Synapse has enriched one closely related paper. Consider it for comparative context: