The fermionic p-adic integrals on Zp associated with extended q-Euler numbers and polynomials

2009/01/14 by Taekyun Kim, Kim, Taekyun
Mathematics · #11B68 #11S80 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11B68 #msc:11S80

paper · pdf · doi:10.48550/arxiv.0901.2006

13 pages

arxiv created 2009/01/14 · openalex publication_date 2009/01/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The purpose of this paper is to present a systemic study of some families of q-Euler numbers and polynomials of Norlund's type by using multivariate fermionic p-adic integral on Zp. Moreover, the study of these higher-order q-Euler numbers and polynomials implies some interesting q-analogue of stirling numbers identities.

Related

• A note on p-adic q-integrals associated with q-Euler numbers
• Ob carlitz's type q-Euler numbers associated with the fermionic p-adic integrals on Zp
• Identities of symmetry for expansion of q-Euler polynomials
• A study on the q-Euler numbers and the fermionic q-integrals of the product of several type q-Bernstein polynomials on Zp
• Note on the generalization of the higher order q-Genocchi numbers and q-Euler numbers