Series involving rational, factorial and power functions

Autor:	Reynolds, Robert
Rok vydání:	2024
Předmět:	Mathematics - General Mathematics Primary 30E20 33-01 33-03 33-04
Druh dokumentu:	Working Paper
Popis:	This is an anthology of series involving rational, factorial, and power functions expressed in terms of special functions. New finite expansions involving quotient functions expressed in terms of the Hurwitz-Lerch zeta function are given. These results represent a new form of expressing this special function as a finite series where contour integration is required for derivation. Extended series previously known and derived are extended using differential equations and algebraic methods.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.05810 Zobrazit plný text záznamu View this record from Arxiv