Barnes-type multipleq-zeta functions andq-Euler polynomials

2009/12/28 by Taekyun Kim · 2 citations
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #Backward Euler method #Combinatorics #Computer science #Construct (python library) #Discrete mathematics #Euler equations #Euler number (physics) #Euler's formula #Integer (computer science) #Mathematical analysis #Mathematics #Pure mathematics #Semi-implicit Euler method #Type (biology) #math.NT #msc:11B68

paper · pdf · doi:10.1088/1751-8113/43/25/255201

11 pages

arxiv created 2009/12/28 · openalex publication_date 2010/05/26 · arxiv updated 2015/05/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The purpose of this paper is to present a systemic study of some families of multiple q -Euler numbers and polynomials and we construct multiple q -zeta functions which interpolate multiple q -Euler numbers at a negative integer. This is a partial answer to the open question in a previous publication (see Kim et al 2001 J. Phys. A: Math. Gen. 34 7633–8 ).

Citations

• A note on p-adic q-Euler measure
• q-Bernoulli Numbers and Polynomials Associated with Multiple q-Zeta Functions and Basic L-series
• The Modified q-Euler numbers and polynomials

Cited by

• New approach to q-Euler polynomials of higher order
• On the generalized higher-order q-Bernoulli numbers and polynomials

Related

• q-Euler numbers and polynomials associated with multiple q-zeta functions
• Note on multiple q-zeta functions
• q-Euler Numbers and Polynomials Associated with Basic Zeta Functions
• q-Volkenborn Integration and Its Applications
• Barnes' type multiple Changhee q-zeta functiond