Construction of hybrid form of Δ _h -Appell polynomials

In this article, a hybrid form of Δ _h -Appell polynomials, namely the Δ _h -Frobenius-Euler-Appell polynomials is investigated. The generating function, recurrence relation, explicit representations and implicit formulas involving Δ _h -Frobenius-Euler-Appell polynomials is obtained. The Δ _h -Frobenius-Euler-Appell polynomials are framed within the context of quasi-monomial principle. The determinant form for these polynomials are explored. Further, certain examples are considered as the special cases of Δ _h -Frobenius-Euler-Appell polynomials.