%0 Journal Article %T Unified Bernstein and Bleimann-Butzer-Hahn basis and its properties %A Mehmet A zarslan and Mehmet Bozer %J Advances in Difference Equations %D 2013 %I %R 10.1186/1687-1847-2013-55 %X In this paper we introduce the unification of Bernstein and Bleimann-Butzer-Hahn basis via the generating function. We give the representation of this unified family in terms of Apostol type polynomials and Stirling numbers of the second kind. More generating functions of trigonometric type are also obtained to this unification. %U http://www.advancesindifferenceequations.com/content/2013/1/55/abstract