Abstract:
In this thesis, we discuss about a family of polynomials Bn(
1
2
, x) called Error Bernoulli
Polynomials. These polynomials were first considered by Abdul Hassen and H.D.Nguyen
as residues that emerge from error zeta function. Later, H.L.Geletah consedered these poly nomials interms of their relation to the Hermite polynomials. In this thesis we consider
further properties of Bn(
1
2
, x) and discuss more relation to Hermite polynomials.