Sandwich-type results regarding Riemann-Liouville fractional integral of <i>q</i>-hypergeometric function

Abstract The study presented in this article involves q -calculus connected to fractional calculus applied the univalent functions theory. Riemann-Liouville integral of -hypergeometric function is defined here, and investigations are conducted using theories differential subordination superordination. Theorems corollaries containing new superordination results proved for which best dominants subordinants given, respectively. As an application obtained by means two theories, statement a sandwich-type theorem concludes study.