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In this paper, a further investigation for the Apostol–Bernoulli and Apostol–Euler polynomials is performed, and some summation formulae of products of the Apostol–Bernoulli and Apostol–Euler polynomials are established by applying some summation transform techniques. Some illustrative special cases as well as immediate consequences of the main results are also considered.
We present here a further investigation for the classical Frobenius–Euler polynomials. By making use of the generating function methods and summation transform techniques, we establish some summation formulas for the products of an arbitrary number of the classical Frobenius–Euler polynomials. The results presented here are generalizations of the corresponding known formulas for the classical Bernoulli...
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