  The main purpose of this paper is to study generalized (self-) reciprocal
Appell polynomials, which play a certain role in connection with Faulhaber-type
polynomials. More precisely, we show for any Appell sequence when satisfying a
reflection relation that the Appell polynomials can be described by
Faulhaber-type polynomials, which arise from a quadratic variable substitution.
Furthermore, the coefficients of the latter polynomials are given by values of
derivatives of generalized reciprocal Appell polynomials. Subsequently, we show
some applications to the Bernoulli and Euler polynomials. In the context of
power sums the results transfer to the classical Faulhaber polynomials.
