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A Series Representation for the Hurwitz–Lerch Zeta Function

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 28 Oct 2021 English Publisher:MDPI AGJournal:Axioms, volume 10, page 279 (eissn: 2075-1680, Copyright policy )Funded by:NSERC | unidentified
Authors: Robert Reynolds 0003; Allan Stauffer;

doi: 10.3390/axioms10040279

A Series Representation for the Hurwitz–Lerch Zeta Function

Abstract

We derive a new formula for the Hurwitz–Lerch zeta function in terms of the infinite sum of the incomplete gamma function. Special cases are derived in terms of fundamental constants.

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Keywords

Cauchy integral, incomplete gamma function, QA1-939, Hurwitz–Lerch zeta function, Apéry’s constant, Catalan’s constant, exponential integral function, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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