Extended Blumberg-Dieckmann Series
Robert Reynolds
TL;DR
This paper develops new finite summation formulas and uses them to derive functional relationships for the multivariable Hurwitz-Lerch zeta function, supported by illustrative examples.
Contribution
It introduces novel finite summation formulas and applies them to establish functional relationships for the multivariable Hurwitz-Lerch zeta function.
Findings
New finite summation formulas derived
Functional relationships for multivariable Hurwitz-Lerch zeta function established
Examples illustrating these relationships provided
Abstract
This paper introduces a set of finite summation formulas and utilize them to establish various functional relationships involving the multivariable Hurwitz-Lerch zeta function. Additionally, the paper examines several examples of these functional relationships.
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Taxonomy
TopicsAdvanced Mathematical Identities · Analytic Number Theory Research · Advanced Mathematical Theories and Applications