On p-adic interpolating function associated with modified Dirichlet's type of twisted q-Euler numbers and polynomials with weight α

2012/01/26 by Serkan Aracı, Serkan Araci, Mehmet Açıkgöz +2
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Difference polynomials #Dirichlet distribution #Discrete mathematics #Euler's formula #Function (biology) #Generating function #Mathematical analysis #Mathematics #Orthogonal polynomials #Pure mathematics #Representation (politics) #Type (biology) #Weight function #math.NT

paper · pdf · doi:10.7153/jca-02-04

published as Journal of Classical Analysis 2 (2013) 35-48 · 14 pages

arxiv created 2012/01/26 · openalex publication_date 2013/01/01 · arxiv updated 2013/08/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In the present paper, we introduce modified Dirichlet's type of twisted q -Euler polynomials with weight . We apply the method of generating function and p -adic q -integral representation on Z p , which are exploited to derive further classes of q -Euler numbers and polynomials. Our new generating function possess a number of interesting properties which we state in this paper.

Citations

• On the weighted q-Bernoulli numbers and polynomials
• New approach to q-Euler polynomials of higher order
• q-Bernoulli Numbers and Polynomials Associated with Multiple q-Zeta Functions and Basic L-series
• Introduction to Cyclotomic Fields