  Generalization of the Euler polynomials ${{A}_{n}}\left( x \right)={{\left(
1-x \right)}^{n+1}}\sum\nolimits_{m=0}^{\infty }{{{m}^{n}}{{x}^{m}}}$ are the
polynomials ${{\alpha }_{n}}\left( x \right)={{\left( 1-x
\right)}^{n+1}}\sum\nolimits_{m=0}^{\infty }{{{u}_{n}}}\left( m
\right){{x}^{m}}$, where ${{u}_{n}}\left( x \right)$ is the polynomial of
degree $n$. These polynomials appear in various fields of mathematics, which
causes a variety of methods for their study. In present paper we will consider
generalized Euler polynomials as an attribute of the theory of Riordan arrays.
From this point of view, we will consider the transformations associated with
them, with a participation of such objects as binomial sequences, Stirling
numbers, multinomial coefficients, shift operator, and demonstrate a
constructiveness of the chosen point of view.
