Identities involving values of Bernstein, q-Bernoulli, and q-Euler polynomials
Top Cited Papers
- 8 June 2011
- journal article
- Published by Pleiades Publishing Ltd in Russian Journal of Mathematical Physics
- Vol. 18 (2) , 133-143
- https://doi.org/10.1134/s1061920811020014
Abstract
In this paper, we give relations involving values of q-Bernoulli, q-Euler, and Bernstein polynomials. Using these relations, we obtain some interesting identities on the q-Bernoulli, q-Euler, and Bernstein polynomials.Keywords
All Related Versions
This publication has 13 references indexed in Scilit:
- Barnes-type multipleq-zeta functions andq-Euler polynomialsJournal of Physics A: Mathematical and Theoretical, 2010
- q‐Bernstein Polynomials Associated with q‐Stirling Numbers and Carlitz′s q‐Bernoulli NumbersAbstract and Applied Analysis, 2010
- On the Fermionic -adic Integral Representation of Bernstein Polynomials Associated with Euler Numbers and PolynomialsJournal of Inequalities and Applications, 2010
- A Study on the p-Adic Integral Representation on ℤp Associated with Bernstein and Bernoulli PolynomialsAdvances in Difference Equations, 2010
- Some identities on the q-Euler polynomials of higher order and q-stirling numbers by the fermionic p-adic integral on ℤ pRussian Journal of Mathematical Physics, 2009
- Some Identities of the Frobenius-Euler PolynomialsAbstract and Applied Analysis, 2009
- Note on the Euler q-zeta functionsJournal of Number Theory, 2008
- On the Symmetries of the-Bernoulli PolynomialsAbstract and Applied Analysis, 2008
- q-Bernoulli numbers and polynomials associated with Gaussian binomial coefficientsRussian Journal of Mathematical Physics, 2008
- A Theorem Concerning the Bernstein PolynomialsMathematics Magazine, 1958