Some relations between twisted \((h, q)\)-Euler numbers with weight \(a\) and \(q\)-Bernstein polynomials with weight \(a\)
type: Item
instance of: scholarly article
title: Some relations between twisted \((h, q)\)-Euler numbers with weight \(a\) and \(q\)-Bernstein polynomials with weight \(a\)
zbMATH Open document ID: 1272.11131
DOI: 10.1155/2011/176296
published in: Discrete Dynamics in Nature and Society
publication date: 2012-01-23T00:00:00Z
review text: Summary: By using a fermionic \(p\)-adic \(q\)-integral on \(\mathbb Z_p\), we give some interesting relationship between the twisted \((h, q)\)-Euler numbers with weight \(a\) and the \(q\)-Bernstein polynomials.
Mathematics Subject Classification ID: 11S80
Mathematics Subject Classification ID: 11B68
Mathematics Subject Classification ID: 11B65
zbMATH DE Number: 5999617
author: N. S. Jung
author: Hui Young Lee
author: C. S. Ryoo
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/176296
OpenAlex ID: W2122528273
Wikidata QID: Q58655424
cites work: A study on the \(p\)-adic integral representation on \(\mathbb Z_p\) associated with Bernstein and Bernoulli polynomials
cites work: q-Euler numbers and polynomials associated with p-adic q-integrals
cites work: Some identities on the \(q\)-Euler polynomials of higher order and \(q\)-Stirling numbers by the fermionic \(p\)-adic integral on \(\mathbb Z_p\)
cites work: Barnes-type multipleq-zeta functions andq-Euler polynomials
cites work: A note on \(q\)-Bernstein polynomials
cites work: \(q\)-Volkenborn integration
cites work: \(q\)-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients
cites work: On the fermionic \(p\)-adic integral representation of Bernstein polynomials associated with Euler numbers and polynomials
cites work: Q3002934
cites work: Some identities on the q-Bernstein polynomials, q-Stirling number and q-Bernoulli numbers
cites work: Some Identities for the Bernoulli, the Euler and the Genocchi Numbers and Polynomials
cites work: Q3514098
cites work: Note on the Euler Numbers and Polynomials
cites work: A new extension of \(q\)-Euler numbers and polynomials related to their interpolation functions
cites work: Interpolation function of the \((h,q)\)-extension of twisted Euler numbers
cites work: Q3603380
cites work: On multiple interpolation functions of the \(q\)-Genocchi polynomials
cites work: Q3582408
cites work: Q3004014
cites work: Q3092669
cites work: Q5447670
cites work: A new generating function of (\(q\)-) Bernstein-type polynomials and their interpolation function
description: scientific article; zbMATH DE number 5999617