On p-Adic Fermionic Integrals of q-Bernstein Polynomials Associated with q-Euler Numbers and Polynomials †
We study a q-analogue of Euler numbers and polynomials naturally arising from the p-adic fermionic integrals on Zp and investigate some properties for these numbers and polynomials. Then we will consider p-adic fermionic integrals on Zp of the two variable q-Bernstein polynomials, recently introduced by Kim, and demonstrate that they can be written in terms of the q-analogues of Euler numbers. Further, from such p-adic integrals we will derive some identities for the q-analogues of Euler numbers.
2013 ◽
Vol 31
(3_4)
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pp. 523-531
2010 ◽
Vol 2010
(1)
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pp. 864247
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2007 ◽
Vol 2007
(1)
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pp. 086052
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Keyword(s):
2007 ◽
Vol 54
(4)
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pp. 484-489
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