The main aim of this article is to introduce \(\Delta _h\) -truncated-exponential based Appell polynomials. Both operational methods and determinant approach are used. The former allows to derive certain enthralling properties, including the quasi-monomiality and implicit formulae. The determinant form allows to show orthogonality conditions with respect to an appropriate linear functional. These support an interesting interpolation problem, called \(\Delta _h\) -hybrid Appell interpolation problem. As particular cases of \(\Delta _h\) -Appell sequences, the sequence of Bernoulli polynomials of second kind and the Boole polynomials are considered and corresponding interpolation problems are discussed. By taking the integral functional, the integral \(\Delta _h\) -truncated-exponential-Appell interpolants are also considered.
