Applications of m-fold-p-valent symmetric functions associated with a generalized Riemann-Liouville fractional integral operator

Abstract

This work addresses a new definition of a fractional integral operator that acts on functions which are m-fold-p-valent symmetric in the unit disk. We provide examples of the considered geometric functions of the m-fold-p-valent symmetric type. Also, using the Hadamard product, we prove several results, including the fractional integral operator associated with the well-known Fox-Wright function. Finally, some properties based on the Briot-Bouquet differential subordination are investigated.