A Series Representation for the Hurwitz–Lerch Zeta Function

Autor:	Allan Stauffer, Robert Reynolds
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Pure mathematics Logic Mathematics::Number Theory Cauchy integral Mathematics::Classical Analysis and ODEs incomplete gamma function 02 engineering and technology Catalan's constant 01 natural sciences Exponential integral Apéry's constant symbols.namesake Lerch zeta function 0202 electrical engineering electronic engineering information engineering QA1-939 Apéry’s constant 0101 mathematics Mathematical Physics Cauchy's integral formula Mathematics Algebra and Number Theory Series (mathematics) 010102 general mathematics Catalan’s constant exponential integral function Riemann zeta function symbols 020201 artificial intelligence & image processing Hurwitz–Lerch zeta function Geometry and Topology Incomplete gamma function Analysis
Zdroj:	Axioms Volume 10 Issue 4 Axioms, Vol 10, Iss 279, p 279 (2021)
ISSN:	2075-1680
DOI:	10.3390/axioms10040279
Popis:	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.
Databáze:	OpenAIRE
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