References
- S. Araci, M. Acikgoz, and J.-J. Seo, A note on the weighted q-Genocchi numbers and polynomials with their interpolation function, Honam Math. Journal 34 (2012), no. 1, 11-18. https://doi.org/10.5831/HMJ.2012.34.1.11
-
S. Araci, D. Erdal, and J.-J. Seo, A study on the fermionic p adic q-integral representation on
$\mathbb{Z}_{p}$ associated with weighted q-Bernstein and q-Genocchi polynomials, Abstr. Appl. Anal. 2011 (2011), Article ID 649248, 10 pages. - S. Araci, J.-J. Seo, and D. Erdal, New construction weighted (h, q)-Genocchi numbers and polynomials related to Zeta type function, Discrete Dyn. Nat. Soc. 2011 (2011), Article ID 487490, 7 pages.
- M. Acikgoz and Y. Simsek, On multiple interpolation functions of the Norlund type q-Euler polynomials, Abstr. Appl. Anal. 2009 (2009), Article ID 382574, 14 pages.
- T. Kim, A note on the q-analogue of p-adic log gamma function, arXiv:0710.4981v1[math.NT].
- T. Kim, On a q-analogue of the p-adic log gamma functions and related integrals, J. Number Theory 76 (1999), no. 2, 320-329. https://doi.org/10.1006/jnth.1999.2373
- T. Kim, On the q-extension of Euler and Genocchi numbers, J. Math. Anal. Appl. 326 (2007), no. 2, 1458-1465. https://doi.org/10.1016/j.jmaa.2006.03.037
- T. Kim, On the multiple q-Genocchi and Euler numbers, Russian J. Math. Phys. 15 (2008), no. 4, 481-486. https://doi.org/10.1134/S1061920808040055
- T. Kim, On the weighted q-Bernoulli numbers and polynomials, Advanced Studies in Contemporary Mathematics 21 (2011), no. 2, 207-215.
- T. Kim, q-Volkenborn integration, Russ. J. Math. Phys. 9 (2002), no. 3, 288-299.
-
T. Kim, An invariant p-adic q-integrals on
$ \mathbb{Z}_{p}$ , Appl. Math. Lett. 21 (2008), no. 2, 105-108. https://doi.org/10.1016/j.aml.2006.11.011 - T. Kim, q-Euler numbers and polynomials associated with p-adic q-integrals, J. Nonlinear Math. Phys. 14 (2007), no. 1, 15-27. https://doi.org/10.2991/jnmp.2007.14.1.3
- T. Kim, New approach to q-Euler polynomials of higher order, Russ. J. Math. Phys. 17 (2010), no. 2, 218-225. https://doi.org/10.1134/S1061920810020068
-
T. Kim, Some identities on the q-Euler polynomials of higher order and q-Stirling numbers by the fermionic p-adic integral on
$\mathbb{Z}_ {p}$ , Russ. J. Math. Phys. 16 (2009), no. 4, 484-491. https://doi.org/10.1134/S1061920809040037 - T. Kim, On p-adic q-l-functions and sums of powers, J. Math. Anal. Appl. 329 (2006), no. 2, 1472-1481.
- T. Kim and S.-H. Rim, On the twisted q-Euler numbers and polynomials associated with basic q-l-functions, J. Math. Anal. Appl. 336 (2007), no. 1, 738-744. https://doi.org/10.1016/j.jmaa.2007.03.035
- C. S. Ryoo, A note on the weighted q-Euler numbers and polynomials, Advan. Stud. Contemp. Math. 21 (2011), 47-54.
- Y. Simsek, Theorems on twisted L-function and twisted Bernoulli numbers, Advan. Stud. Contemp. Math. 11 (2005), 205-218.
- Y. Simsek, Twisted (h, q)-Bernoulli numbers and polynomials related to twisted (h, q)-zeta function and L-function, J. Math. Anal. Appl. 324 (2006), no. 2, 790-804. https://doi.org/10.1016/j.jmaa.2005.12.057
- Y. Simsek, On p-adic twisted q-L-functions related to generalized twisted Bernoulli numbers, Russ. J. Math. Phys. 13 (2006), no. 3, 340-348. https://doi.org/10.1134/S1061920806030095
- D. Zill and M. R. Cullen, Advanced Engineering Mathematics, Jones and Bartlett, 2005.
Cited by
- q-DEDEKIND-TYPE DAEHEE-CHANGHEE SUMS WITH WEIGHT α ASSOCIATED WITH MODIFIED q-EULER POLYNOMIALS WITH WEIGHT α vol.27, pp.1, 2014, https://doi.org/10.14403/jcms.2014.27.1.1
- A New Family of q-analogue of Genocchi Numbers and Polynomials of Higher Order vol.54, pp.1, 2014, https://doi.org/10.5666/KMJ.2014.54.1.131
- Extended q-Dedekind-type Daehee-Changhee sums associated with extended q-Euler polynomials vol.2015, pp.1, 2015, https://doi.org/10.1186/s13662-015-0610-8