We investigate zeta regularized products of rational functions. As an application, we obtain the asymptotic expansion of the Euler Gamma function associated with a rational function.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba58-3-1, author = {Mauro Spreafico}, title = {Dirichlet Series and Gamma Function Associated with Rational Functions}, journal = {Bulletin of the Polish Academy of Sciences. Mathematics}, volume = {58}, year = {2010}, pages = {189-195}, zbl = {1221.11189}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba58-3-1} }
Mauro Spreafico. Dirichlet Series and Gamma Function Associated with Rational Functions. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 58 (2010) pp. 189-195. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba58-3-1/