Infinite order linear differential equation satisfied by \(p\)-adic Hurwitz-type Euler zeta functions

DOI10.1007/s12188-021-00234-2zbMath1497.11223arXiv2008.07218OpenAlexW3137885353WikidataQ115377270 ScholiaQ115377270MaRDI QIDQ2238300

Min-Soo Kim, Su Hu

Publication date: 1 November 2021

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.07218

zbMATH Keywords

differential equation\(p\)-adic Hurwitz-type Euler zeta function

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Hurwitz and Lerch zeta functions (11M35)

Cites Work

• On \(p\)-adic Hurwitz-type Euler zeta functions
• Does the Riemann zeta function satisfy a differential equation?
• On \(p\)-adic multiple zeta and log gamma functions
• On \(p\)-adic Diamond-Euler log gamma functions
• On the analogs of Euler numbers and polynomials associated with \(p\)-adic \(q\)-integral on \(\mathbb Z_{p}\) at \(q= - 1\)
• Linear operators, the Hurwitz zeta function and Dirichlet \(L\)-functions
• A note on convexity properties of functions related to the Hurwitz zeta and alternating Hurwitz zeta function
• On Dirichlet's lambda function
• ON A p-ADIC INTERPOLATION FUNCTION FOR THE EULER NUMBERS AND ITS DERIVATIVES
• Special values and integral representations for the Hurwitz-type Euler zeta functions
• Number Theory
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