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math.NTJun 1, 2005
43
citations (OpenAlex)
authors
  • T. Kim
arXiv abstractPDF
paper

A note on q-Volkenborn integration

arXiv:math/0506006

Abstract

In this paper, we construct the new q-analogue of the ordinary Euler numbers and polynomials by using the q-Volkenborn integrals.

5pages

Cited by in corpus (10)

  • On the Twisted q-Euler numbers and polynomials associated with basic q-l-functions
  • A note on the alternating sums of powers of consecutive q-integers
  • q-Volkenborn Integration and Its Applications
  • p-adic q-expansion of alternating sums of powers
  • Nonstandard Mathematics and New Zeta and L-Functions
  • Construction of a generalization of the Leibnitz numbers and their properties
  • On p-adic q-l-functions and sums of powers
  • Lebesque-Radon-Nikodym theorem with respect to p-adic invariant measure on Zp
  • Some identities of the generalized twisted Bernoulli numbers and polynomials of highert order
  • On p-adic q-l-functions and sums of powers, II
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