• Rim, Seog-Hoon (Department of Mathematics Education, Kyungpook National University) ;
  • Jeong, Joo-Hee (Department of Mathematics Education, Kyungpook National University)
  • Received : 2011.12.29
  • Accepted : 2012.03.27
  • Published : 2012.06.25


The main purpose of this paper is to introduce a new type of $q$-Euler numbers and polynomials with weak weight (${\alpha}$,${\omega}$): $\tilde{E}^{({\alpha},{\omega})}_{n,q}$ and $\tilde{E}^{({\alpha},{\omega})}_{n,q}(x)$, respectively. By using the fermionic $p$-adic $q$-integral on $\mathbb{Z}_p$, we can obtain some results and derive some recurrence identities for the $q$-Euler numbers and polynomials with weak weight (${\alpha}$,${\omega}$).


Supported by : Kyungpook National University


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