In last last decade, many mathematicians studied the unification of the
Bernoulli and Euler polynomials. Firstly Karande B. K. and Thakare N. K. in
[6] introduced and generalized the multiplication formula. Ozden et. al. in
[14] defined the unified Apostol-Bernoulli, Euler and Genocchi polynomials
and proved some relations. M. A. Ozarslan in [13] proved the explicit
relations, symmetry identities and multiplication formula. El-Desouky et. al.
in ([3], [4]) defined a new unified family of the generalized Apostol-Euler,
Apostol-Bernoulli and Apostol-Genocchi polynomials and gave some relations
for the unification of multiparameter Apostol-type polynomials and numbers.
In this study, we give some symmetry identities and recurrence relations for
the unified Apostol-type polynomials related to multiple alternating sums.
Fourier expansions for higher-order Apostol–Genocchi, Apostol–Bernoulli and Apostol–Euler polynomials
