A note on a generalized double series.
other · Level V
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- Record sourced from PubMed, PMID 41544051.
- Also identified by DOI 10.1371/journal.pone.0340358 and PMC identifier 12810855.
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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.
Medical subject headings
- Models, Theoretical