Generalizations of the Bernoulli and Appell polynomials
Generalizations of the Bernoulli and Appell polynomials
We first introduce a generalization of the Bernoulli polynomials, and consequently of the Bernoulli numbers, starting from suitable generating functions related to a class of MittagāLeffler functions. Furthermore, multidimensional extensions of the Bernoulli and Appell polynomials are derived generalizing the relevant generating functions, and using the HermiteāKampĆ© de FĆ©riet (or ā¦