English

Some identities of q-Bernoulli numbers associated p-adic convolutions

Number Theory 2013-07-02 v1
Authors: J. J. Seo , T. Kim , S. H. Lee
View on arXiv ↗ PDF ↗

Abstract

In this paper, we give some interesting and new identities of q-Bernoulli numbers which are derived from convolutions on the ring of p-adic integers.

Keywords

q-Bernoulli numbers p-adic integers convolutions identities p-adic convolutions

Cite

@article{arxiv.1307.0360,
  title  = {Some identities of q-Bernoulli numbers associated p-adic convolutions},
  author = {J. J. Seo and T. Kim and S. H. Lee},
  journal= {arXiv preprint arXiv:1307.0360},
  year   = {2013}
}

Comments

6 pages

Related papers

View all related →
Number Theory · Mathematics
q-Bernstein polynomials, q-Stirling numbers and q-Bernoulli polynomials
T. Kim
2010-08-27
Number Theory · Mathematics
An Invarian p-adic q-integral on the rings of p-adic integers
Taekyun Kim
2007-05-23
Number Theory · Mathematics
q-Bernoulli numbers and Stirling numbers(2)
Taekyun Kim
2007-10-29
Number Theory · Mathematics
Symmetric identities of higher-order degenerate q-Bernoulli polynomials
Taekyun Kim, Hyuck-In Kwon
2016-08-18
Number Theory · Mathematics
Some identities of Bernoulli numbers and polynomials associated with Bernstein polynomials
M. S. Kim, T. Kim, B. Lee, C. S. Ryoo
2010-09-02
Number Theory · Mathematics
p-adic invariant integral on Zp associated with the Changhee q-Bernoulli polynomials
Jong Jin Seo, Taekyun Kim
2013-07-02
Number Theory · Mathematics
On the weighted q-Bernoulli numbers and polynomials
Taekyun Kim
2010-11-25
Number Theory · Mathematics
Some New Identities on the (h,q)-Genocchi numbers and polynomials with weight alpha
Serkan Araci, Elif Cetin, Mehmet Acikgoz, Ismail Naci Cangul
2019-07-04
Number Theory · Mathematics
A note on q-Bernoulli numbers and polynomials
Taekyun Kim
2015-06-26
Number Theory · Mathematics
Identities involving values of Bernstein, q-Bernoulli and q-Euler polynomials
A. Bayad, T. Kim
2015-05-27
Number Theory · Mathematics
Some new identities on the twisted (h, q)- Euler numbers and q-Bernstein polynomials
D. V. Dolgy, D. J. Kang, T. Kim, B. Lee
2011-05-03
Number Theory · Mathematics
Some identities of symmetry for q-Bernoulli polynomials under symmetric group of degree n
Dae san Kim, Taekyun Kim
2015-04-22
Number Theory · Mathematics
Explicit Formulas involving q-Euler Numbers and Polynomials
Serkan Araci, Mehmet Acikgoz, Jong Jin Seo
2013-08-14
Number Theory · Mathematics
Some identities on the q-Bernstein polynomials, q-Stirling number and q-Bernoulli numbers
Taekyun Kim, Jongsung Choi, Young-Hee Kim
2010-06-11
Number Theory · Mathematics
q-Bernoulli polynomials and q-umbral calculus
Dae san Kim, Taekyun Kim
2013-07-01
Number Theory · Mathematics
Some identities of the generalized twisted Bernoulli numbers and polynomials of highert order
Younghee Kim, Seog-Hoon Rim, Byungje Lee, Taekyun Kim
2009-07-20
Number Theory · Mathematics
On the generalized higher-order q-Bernoulli numbers and polynomials
T. Kim, Byungje Lee, C. S. Ryoo
2010-08-10
Number Theory · Mathematics
Some identities on Bernstein polynomials associated with q-Euler polynomials
Abdelmejid Bayad, Taekyun Kim, Byunje Lee, Seog-Hoon Rim
2011-01-14
Number Theory · Mathematics
On p-adic analogue of q-Bernstein polynomials and related integrals
Taekyun Kim, Lee-Chae jang, Younghee Kim, Jongsoung Choi
2010-09-20
Number Theory · Mathematics
Carlitz q-Bernoulli numbers and q-Stirling numbers
Taekyun Kim
2007-08-27
Number Theory · Mathematics
Some identities of symmetry for the degenerate q-Bernoulli polynomials under symmetry group of degree n
D. V. Dolgy, T. Kim, L. -C. Jang, H. -I Kwon
2016-08-02
Number Theory · Mathematics
On The Properties Of $q$-Bernstein-Type Polynomials
Serkan Araci, Mehmet Acikgoz, Hassan Jolany, Armen Bagdasaryan
2019-07-04
Number Theory · Mathematics
Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis
Armen Bagdasaryan, Serkan Araci, Mehmet Acikgoz, Yuan He
2019-07-04
Combinatorics · Mathematics
A q-Analog of Dual Sequences with Applications
Sharon J. X. Hou, Jiang Zeng
2007-05-23
Combinatorics · Mathematics
q-Fibonacci polynomials and q-Genocchi numbers
Johann Cigler
2010-12-01