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Recently, T. Kim has introduced and analysed the q-Bernoulli numbers and polynomials with weight ${\alpha}$ cf.[7]. By the same motivaton, we also give some interesting properties of the q-Genocchi numbers and polynomials with weight ${\alpha}$. Also, we derive the q-extensions of zeta type functions with weight from the Mellin transformation of this generating function which interpolates the q-Genocchi polynomials with weight at negative integers.
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참고문헌 (15)
참고문헌 신청
Serkan Araci / 2011 / SOME NEW PROPERTIES ON THE q-GENOCCHI NUMBERS AND POLYNOMIALS ASSOCIATED WITH q-BERNSTEIN POLYNOMIALS / 호남수학학술지 33(2):261~270
Araci, S / Some identities concerning (h; q)-Genocchi numbers and polynomials via the p-adic q-integral on Zp and q-Bernstein polynomials
Jang, Lee-Chae / A note on some properties of the weighted q-Genocchi numbers and polynomials / Journal of Applied Mathematics
Kim, T / A new approach to q-Zeta function / Adv. Stud. Contemp. Math 11(2):157~162
Kim, T / 2007 / On the q-extension of Euler and Genocchi numbers / J. Math. Anal. Appl 326:1458~1465
Araci, S / Some identities concerning (h; q)-Genocchi numbers and polynomials via the p-adic q-integral on Zp and q-Bernstein polynomials
Jang, Lee-Chae / A note on some properties of the weighted q-Genocchi numbers and polynomials / Journal of Applied Mathematics
Kim, T / A new approach to q-Zeta function / Adv. Stud. Contemp. Math 11(2):157~162
Kim, T / 2007 / On the q-extension of Euler and Genocchi numbers / J. Math. Anal. Appl 326:1458~1465
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