The twisted (h, q)-Genocchi numbers and polynomials with weight α and q-bernstein polynomials with weight α
Tóm tắt
In this article, we give some identities on the twisted (h, q)-Genocchi numbers and polynomials and q-Bernstein polynomials with weighted α.
Tài liệu tham khảo
Jung NS, Ryoo CS: On the twisted (h; q)-Genocchi numbers and polynomials associated with weight α. Proc. Jangjeon Math. Soc. 2012, 15: 1–9. 10.1155/2011/123483
Rim SH, Jin JH, Moon EJ, Lee SJ: Some identities on the q -Genocchi polynomials of higher-order and q -Stirling numbers by the fermionic p -adic integral on ℤ p . International Journal of Mathematics and Mathematical Sciences 2010., 2010: Art. ID 860280
Ryoo CS: Some identities of the twisted q -Euler numbers and polynomials associated with q -Bernstein polynomials. Proc Jangjeon Math Soc 2011, 14: 239–248.
Ryoo CS: Some relations between twisted q -Euler numbers and Bernstein polynomials. Adv Stud Contemp Math 2011, 21: 217–223.
Simesk Y, Kurt V, Kim D: New approach to the complete sum of products of the twisted ( h, q )-Bernoulli numbers and polynomials. J Nonlinear Math Phys 2007, 14: 44–56. 10.2991/jnmp.2007.14.1.5
Kim T, Choi J, Kim Y-H: Some identities on the q -Bernstein polynomials, q -Stirling numbers and q -Bernoulli numbers. Adv Stud Contemp Math 2010, 20: 335–341.
Kim T, Jang LC, Yi H: A note on the modified q -Bernstein polynomials. Discrete Dynamics in Nature and Society 2010, 2010: 12. Article ID 706483
Kim T: Some identities on the q -Euler polynomials of higher order and q -Stirling numbers by the fermionic p -adic integral on ℤ p . Russian J Math Phys 2009, 16: 484–491. 10.1134/S1061920809040037
Kim T: Note on the Euler numbers and polynomials. Adv Stud Contemp Math 2008, 17: 131–136.
Kim T: q -Volkenborn integration. Russ J Math Phys 2002, 9: 288–299.
Kim T, Choi J, Kim YH, Ryoo CS: On the fermionic p -adic integral representation of Bernstein polynomials associated with Euler numbers and polynomials. J Inequal Appl 2010, 2010: 12. Art ID 864247
Simsek Y, Acikgoz M: A new generating function of q -Bernstein-type polynomials and their interpolation function. Abstract and Applied Analysis 2010, 2010: 12. Article ID 769095