Bohr–Rogosinski Phenomenon for $$\mathcal {S}^*(\psi )$$ and $$\mathcal {C}(\psi )$$

In Geometric function theory, occasionally, attempts have been made to solve a particular problem for the Ma-Minda classes, $$\mathcal {S}^*(\psi )$$ and {C}(\psi of univalent starlike convex functions, respectively. Recently, popular radius generally known as Bohr’s phenomenon has studied in various settings; however, little is about Rogosinski radius. this article, fixed $$f\in \mathcal or ),$$ class analytic subordinants $$S_{f}(\psi ):= \{g : g\prec f \} $$ Bohr–Rogosinski general setting. Its applications classes are also shown.