New approach to q-Euler polynomials of higher order

2010/01/04 by T. Kim, Taekyun Kim, Y. H. Kim · 2 citations
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebra over a field #Analytic Number Theory Research #Backward Euler method #Combinatorics #Difference polynomials #Discrete mathematics #Discrete orthogonal polynomials #Euler equations #Euler number (physics) #Euler's formula #Mathematical analysis #Mathematics #Order (exchange) #Orthogonal polynomials #Pure mathematics #Semi-implicit Euler method #Wilson polynomials #math.NT #msc:11B68

paper · pdf · doi:10.1134/s1061920810020068

11 pages

arxiv created 2010/01/04 · openalex publication_date 2010/06/01 · arxiv updated 2015/05/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In this paper, we present new generating functions related to q -Euler numbers and polynomials of higher order. Using those generating functions, we present new identities involving q -Euler numbers and polynomials of higher order.

Citations

• Note on multiple q-zeta functions
• The Modified q-Euler numbers and polynomials
• Barnes-type multipleq-zeta functions andq-Euler polynomials
• Note on on Dedekind type DC sums

Cited by

• On p-adic interpolating function associated with modified Dirichlet's type of twisted q-Euler numbers and polynomials with weight α
• Explicit Formulas Involving q‐Euler Numbers and Polynomials