Abstract:
In the paper Taylor–Maclaurin type formulas for some classes of functions are obtained. The main result of this study introduces an idea of the generalized classes of $\langle\rho_j\rangle$ completely monotone function. Under the various conditions the terms of their representation are obtained and some related theorems are proved.
Keywords:Riemann–Liouville type operators, $\langle\rho_j\rangle$ completely monotone functions.