Summation formulas for the products of the Frobenius-Euler polynomials. (English) Zbl 1434.11059
Summary: 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 polynomials and the classical Euler polynomials.
MSC:
| 11B68 | Bernoulli and Euler numbers and polynomials |
| 05A19 | Combinatorial identities, bijective combinatorics |
Keywords:
Bernoulli polynomials; Euler polynomials; Frobenius-Euler polynomials; summation transforms; summation formulas; recurrence relationsReferences:
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