Degenerate q-Euler polynomials

Recently, some identities of degenerate Euler polynomials arising from p-adic fermionic integrals on Zp$\mathbb{Z}_{p}$ were introduced in Kim and Kim (Integral Transforms Spec. Funct. 26(4):295-302, 2015). In this paper, we study degenerate q-Euler polynomials which are derived from p-adic q-integrals on Zp$\mathbb{Z}_{p}$.

[1]  Dae San Kim,et al.  Some identities of degenerate Euler polynomials arising from p-adic fermionic integrals on ℤp , 2015 .

[2]  Yilmaz Simsek,et al.  A new extension of q-Euler numbers and polynomials related to their interpolation functions , 2008, Appl. Math. Lett..

[3]  Leonard Carlitz,et al.  A degenerate Staudt-Clausen theorem , 1956 .

[4]  Zhizheng Zhang,et al.  On sums of products of the degenerate Bernoulli numbers , 2009 .

[5]  Yuan He,et al.  A Convolution Formula For Bernoulli Polynomials , 2013, Ars Comb..

[6]  D. Kim.  Identities of Symmetry for Generalized q-Euler Polynomials , 2014 .

[7]  Taekyun Kim,et al.  Some identities on the q-Euler polynomials of higher order and q-stirling numbers by the fermionic p-adic integral on ℤp , 2009 .

[8]  Serkan Araci,et al.  A note on the Frobenius-Euler numbers and polynomials associated with Bernstein polynomials , 2012, 1205.6590.

[9]  Feng Qi,et al.  Relationships Between Generalized Bernoulli Numbers and Polynomials and Generalized Euler Numbers and Polynomials , 2002 .

[10]  Taekyun Kim,et al.  A study on the q-Euler numbers and the fermionic q-integrals of the product of several type $q$-Bernstein polynomials on Zp , 2010, 1010.3889.

[11]  Taekyun Kim,et al.  Some identities on the weighted q-Euler numbers and q-Bernstein polynomials , 2011 .

[12]  L. Jang,et al.  A note on the Von Staudt-Clausen’s theorem for the weighted q-Genocchi numbers , 2015 .

[13]  Taekyun Kim.  An invariant p-adic q-integral on Zp , 2008, Appl. Math. Lett..

[14]  M. Cenkci.  The p-adic generalized twisted (h,q)-euler-l-function and its applications , 2007, 0704.1397.

[15]  Taekyun Kim,et al.  Barnes-type degenerate Bernoulli polynomials , 2015 .

[16]  Taekyun Kim.  q-Euler numbers and polynomials associated with p-adic q-integrals , 2007 .

[17]  S. Rim,et al.  An invariant p-adic q-integral associated with q-Euler numbers and polynomials , 2007 .

[18]  A note on Boole polynomials , 2013, 1310.8025.

[19]  Hacer Ozden,et al.  A note on p-adic q-Euler measure , 2007 .