| Some topics related to Hurwitz-Lerch zeta functions (2008) | |||||||||||||||||
Abstract | |||||||||||||||||
| MI: Global COE Program Education-and-Research Hub for Mathematics-for-Industry. グローバルCOEプログラム「マス･フォア･インダストリ教育研究拠点」. In this paper, we consider multiplication formulas and their inversion formulas for Hurwitz-Lerch zeta functions. Inversion formulas give simple proofs of known results, and also show generalizations of those results. Next, we give a generalization of digamma and gamma functions in terms of Hurwitz-Lerch zeta functions, and consider its properties. In all the sections, various kinds of results are always proved by multiplication formulas and inversion formulas. | |||||||||||||||||
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