Sums of products of Kroneckerʹs double series Original Research Article

Closed expressions are obtained for sums of products of Kroneckerʹs double series of the form image, where the summation ranges over all nonnegative integers j1,…,jN with j1+cdots, three dots, centered+jN=n. Corresponding results are derived for functions which are an elliptic analogue of the periodic Euler polynomials. As corollaries, we reproduce the formulas for sums of products of Bernoulli numbers, Bernoulli polynomials, Euler numbers, and Euler polynomials, which were given by K. Dilcher.