A note on the Hurwitz-Lerch zeta function

In this work we derive a functional equation in terms of the Hurwitz-Lerch zeta function along with de nite integrals in terms of the incomplete gamma and Hurwitz-Lerch zeta functions. The method used in these derivations is contour integration. Special cases in terms of fundamental constants are produced.

Institutions

Publication Details

Journal
REVISTAS
Published
2025-09-03
DOI
https://doi.org/10.71712/mryc-b928
Primary Topic
Geochemistry and Geologic Mapping
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

A note on the Hurwitz-Lerch zeta function

REVISTAS
Geochemistry and Geologic Mapping
article

A note on the Hurwitz-Lerch zeta function

article en

Abstract

In this work we derive a functional equation in terms of the Hurwitz-Lerch zeta function along with de nite integrals in terms of the incomplete gamma and Hurwitz-Lerch zeta functions. The method used in these derivations is contour integration. Special cases in terms of fundamental constants are produced.

REVISTAS
York University (CA)
Reduced inequalities
Openalex Percentile: Top 57%
Geochemistry and Geologic Mapping
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

A note on the Hurwitz-Lerch zeta function · REVISTAS (2025) | TGRS Research Map | TGRS