A note on a generalized double series
Abstract
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.
Fields of Study & Subjects
Advanced Mathematical Identities
Analytic Number Theory Research
Mathematical functions and polynomials
Publication details
- Journal / source
- PLoS ONE
- Volume
- 21
- Issue
- 1
- Pages
- e0340358–e0340358
- Publication date
- 16 January 2026
- Language
- EN